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Simplifying (x * x + 9 + -6x) + -1(4x + -12)(x + 13) = 0 Multiply x * x (x2 + 9 + -6x) + -1(4x + -12)(x + 13) = 0 Reorder the terms: (9 + -6x + x2) + -1(4x + -12)(x + 13) = 0 Remove parenthesis around (9 + -6x + x2) 9 + -6x + x2 + -1(4x + -12)(x + 13) = 0 Reorder the terms: 9 + -6x + x2 + -1(-12 + 4x)(x + 13) = 0 Reorder the terms: 9 + -6x + x2 + -1(-12 + 4x)(13 + x) = 0 Multiply (-12 + 4x) * (13 + x) 9 + -6x + x2 + -1(-12(13 + x) + 4x * (13 + x)) = 0 9 + -6x + x2 + -1((13 * -12 + x * -12) + 4x * (13 + x)) = 0 9 + -6x + x2 + -1((-156 + -12x) + 4x * (13 + x)) = 0 9 + -6x + x2 + -1(-156 + -12x + (13 * 4x + x * 4x)) = 0 9 + -6x + x2 + -1(-156 + -12x + (52x + 4x2)) = 0 Combine like terms: -12x + 52x = 40x 9 + -6x + x2 + -1(-156 + 40x + 4x2) = 0 9 + -6x + x2 + (-156 * -1 + 40x * -1 + 4x2 * -1) = 0 9 + -6x + x2 + (156 + -40x + -4x2) = 0 Reorder the terms: 9 + 156 + -6x + -40x + x2 + -4x2 = 0 Combine like terms: 9 + 156 = 165 165 + -6x + -40x + x2 + -4x2 = 0 Combine like terms: -6x + -40x = -46x 165 + -46x + x2 + -4x2 = 0 Combine like terms: x2 + -4x2 = -3x2 165 + -46x + -3x2 = 0 Solving 165 + -46x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(55 + 3x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(55 + 3x)' equal to zero and attempt to solve: Simplifying 55 + 3x = 0 Solving 55 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 3x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + 3x = 0 + -55 3x = 0 + -55 Combine like terms: 0 + -55 = -55 3x = -55 Divide each side by '3'. x = -18.33333333 Simplifying x = -18.33333333Solution
x = {3, -18.33333333}
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