(3x+15)(2x-10)=90

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Solution for (3x+15)(2x-10)=90 equation: 


Simplifying
(3x + 15)(2x + -10) = 90

Reorder the terms:
(15 + 3x)(2x + -10) = 90

Reorder the terms:
(15 + 3x)(-10 + 2x) = 90

Multiply (15 + 3x) * (-10 + 2x)
(15(-10 + 2x) + 3x * (-10 + 2x)) = 90
((-10 * 15 + 2x * 15) + 3x * (-10 + 2x)) = 90
((-150 + 30x) + 3x * (-10 + 2x)) = 90
(-150 + 30x + (-10 * 3x + 2x * 3x)) = 90
(-150 + 30x + (-30x + 6x2)) = 90

Combine like terms: 30x + -30x = 0
(-150 + 0 + 6x2) = 90
(-150 + 6x2) = 90

Solving
-150 + 6x2 = 90

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '150' to each side of the equation.
-150 + 150 + 6x2 = 90 + 150

Combine like terms: -150 + 150 = 0
0 + 6x2 = 90 + 150
6x2 = 90 + 150

Combine like terms: 90 + 150 = 240
6x2 = 240

Divide each side by '6'.
x2 = 40

Simplifying
x2 = 40

Take the square root of each side:
x = {-6.32455532, 6.32455532}

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