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strojnjashka [21]

3 years ago

8

Solutions of the equation 4x2-7x=3x+24

2 answers:

Mnenie [13.5K]3 years ago

5 0

Let's solve your equation step-by-step. <span><span><span>4x^2</span>−7x</span>=<span>3x+24
</span></span>Step 1: Subtract 3x+24 from both sides.
<span><span><span><span>4x^2</span>−7x</span>−<span>(<span>3x+24</span>)</span></span>=<span><span>3x+24</span>−<span>(<span>3x+24</span>)
</span></span></span><span><span><span><span>4x^2</span>−10x</span>−24</span>=0
</span>Step 2: Factor left side of equation.
<span><span><span>2<span>(<span>2x+3</span>)</span></span><span>(x−4)</span></span>=0
</span>Step 3: Set factors equal to 0. <span><span><span>2x+3</span>=<span><span><span>0 or </span>x</span>−4</span></span>=0</span><span><span>x=<span><span><span>−32</span> or </span>x</span></span>=4
</span>Answer:<span><span>x=<span><span><span>−3/2</span> or </span>x</span></span>=<span>4
Hope this helps!:)</span></span>

Naily [24]3 years ago

3 0

<span><span> x = -3/2 = -1.500
</span><span> x = 4</span></span>

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