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kykrilka [37]
3 years ago
6

Solve the equation -10 + 3x + 5x = -56 ? ??

Mathematics
2 answers:
Xelga [282]3 years ago
8 0
Add like terms on the same side:
-10 + 8x = -56
Add ten to both sides
-10 + 8x + 10 = -56 +10
Simplify:
8x = -46
Divide both side by 8
8x/8 = -46/8
Simplify
x = - 5.75
The answer is x = -5.75
(The answer can also be written as -23/4 or -5 3/4)
Triss [41]3 years ago
7 0
Let's solve your equation step-by-step.<span><span><span><span>−10</span>+<span>3x</span></span>+<span>5x</span></span>=<span>−56
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>8x</span>−10</span>=<span>−56
</span></span>Step 2: Add 10 to both sides.
<span><span><span><span>8x</span>−10</span>+10</span>=<span><span>−56</span>+10</span></span><span><span>8x</span>=<span>−46
</span></span>Step 3: Divide both sides by
8.<span><span><span>8x</span>8</span>=<span><span>−46</span>8
</span></span><span>x=<span><span>−23/</span><span>4</span></span></span>
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Expand and combine like terms (3z^5 +7z^2)^2
AVprozaik [17]

Answer:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}

Given the perfect square expression \displaystyle{(3z^5+7z^2)^2}. Apply perfect square formula:

\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}

Apply laws of exponent to simplify the terms or expression:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }

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