2 years ago

(-3x+5)(2x+4) in standard form step by step

Mathematics

2 answers:

charle [14.2K]2 years ago

6 0

Solution:

To simplify this expression, multiply the terms together....

(-3x + 5)(2x + 4)
=> (-3x × 2x) + (-3x × 4) + (2x × 5) + (5 × 4)
=> -6x² - 12x + 10x + 20
=> -6x² - 2x + 20

Hence, the simplified expression is -6x² - 2x + 20.

Hoped this helped!

patriot [66]2 years ago

4 0

Answer:

$- 6 {x}^{2} -2x + 20$

$( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20$

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Use the quadratic formula to solve the equation 2x^2+2x-4=0

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Answer:

Step-by-step explanation:

The quadratic formula for the quadratic equation ax² + bx + c = 0:

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$2x^2+2x-4=0\qquad\text{divide both sides by 2}\\\\x^2+x-2=0$

$a=1,\ b=1,\ c=-2$

Substitute:

$x=\dfrac{-1\pm\sqrt{1^2-4(1)(-2)}}{2(1)}=\dfrac{-1\pm\sqrt{9}}{2}=\dfrac{-1\pm3}{2}\\\\x_1=\dfrac{-1-3}{2}=\dfrac{-4}{2}=-2\\\\x_2=\dfrac{-1+3}{2}=\dfrac{2}{2}=1$