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Simplifying 50 = 2(x + -4)(x + -4) Reorder the terms: 50 = 2(-4 + x)(x + -4) Reorder the terms: 50 = 2(-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) 50 = 2(-4(-4 + x) + x(-4 + x)) 50 = 2((-4 * -4 + x * -4) + x(-4 + x)) 50 = 2((16 + -4x) + x(-4 + x)) 50 = 2(16 + -4x + (-4 * x + x * x)) 50 = 2(16 + -4x + (-4x + x2)) Combine like terms: -4x + -4x = -8x 50 = 2(16 + -8x + x2) 50 = (16 * 2 + -8x * 2 + x2 * 2) 50 = (32 + -16x + 2x2) Solving 50 = 32 + -16x + 2x2 Solving for variable 'x'. Combine like terms: 50 + -32 = 18 18 + 16x + -2x2 = 32 + -16x + 2x2 + -32 + 16x + -2x2 Reorder the terms: 18 + 16x + -2x2 = 32 + -32 + -16x + 16x + 2x2 + -2x2 Combine like terms: 32 + -32 = 0 18 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2 18 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2 Combine like terms: -16x + 16x = 0 18 + 16x + -2x2 = 0 + 2x2 + -2x2 18 + 16x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + 16x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 8x + -1x2) = 0 Factor a trinomial. 2((9 + -1x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {9, -1}
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