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Simplifying
2(x + -2)(x + 3) + -1(2x + -2) = 0
Reorder the terms:
2(-2 + x)(x + 3) + -1(2x + -2) = 0
Reorder the terms:
2(-2 + x)(3 + x) + -1(2x + -2) = 0
Multiply (-2 + x) * (3 + x)
2(-2(3 + x) + x(3 + x)) + -1(2x + -2) = 0
2((3 * -2 + x * -2) + x(3 + x)) + -1(2x + -2) = 0
2((-6 + -2x) + x(3 + x)) + -1(2x + -2) = 0
2(-6 + -2x + (3 * x + x * x)) + -1(2x + -2) = 0
2(-6 + -2x + (3x + x2)) + -1(2x + -2) = 0
Combine like terms: -2x + 3x = 1x
2(-6 + 1x + x2) + -1(2x + -2) = 0
(-6 * 2 + 1x * 2 + x2 * 2) + -1(2x + -2) = 0
(-12 + 2x + 2x2) + -1(2x + -2) = 0
Reorder the terms:
-12 + 2x + 2x2 + -1(-2 + 2x) = 0
-12 + 2x + 2x2 + (-2 * -1 + 2x * -1) = 0
-12 + 2x + 2x2 + (2 + -2x) = 0
Reorder the terms:
-12 + 2 + 2x + -2x + 2x2 = 0
Combine like terms: -12 + 2 = -10
-10 + 2x + -2x + 2x2 = 0
Combine like terms: 2x + -2x = 0
-10 + 0 + 2x2 = 0
-10 + 2x2 = 0
Solving
-10 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 2x2 = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 2x2 = 0 + 10
2x2 = 0 + 10
Combine like terms: 0 + 10 = 10
2x2 = 10
Divide each side by '2'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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