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Simplifying 2(x + -3)(x + -3) + 18 = 26 Reorder the terms: 2(-3 + x)(x + -3) + 18 = 26 Reorder the terms: 2(-3 + x)(-3 + x) + 18 = 26 Multiply (-3 + x) * (-3 + x) 2(-3(-3 + x) + x(-3 + x)) + 18 = 26 2((-3 * -3 + x * -3) + x(-3 + x)) + 18 = 26 2((9 + -3x) + x(-3 + x)) + 18 = 26 2(9 + -3x + (-3 * x + x * x)) + 18 = 26 2(9 + -3x + (-3x + x2)) + 18 = 26 Combine like terms: -3x + -3x = -6x 2(9 + -6x + x2) + 18 = 26 (9 * 2 + -6x * 2 + x2 * 2) + 18 = 26 (18 + -12x + 2x2) + 18 = 26 Reorder the terms: 18 + 18 + -12x + 2x2 = 26 Combine like terms: 18 + 18 = 36 36 + -12x + 2x2 = 26 Solving 36 + -12x + 2x2 = 26 Solving for variable 'x'. Reorder the terms: 36 + -26 + -12x + 2x2 = 26 + -26 Combine like terms: 36 + -26 = 10 10 + -12x + 2x2 = 26 + -26 Combine like terms: 26 + -26 = 0 10 + -12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -6x + x2) = 0 Factor a trinomial. 2((1 + -1x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {1, 5}
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