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Simplifying (3x2 + 10x + -13) + -1(16x + 32) = 0 Reorder the terms: (-13 + 10x + 3x2) + -1(16x + 32) = 0 Remove parenthesis around (-13 + 10x + 3x2) -13 + 10x + 3x2 + -1(16x + 32) = 0 Reorder the terms: -13 + 10x + 3x2 + -1(32 + 16x) = 0 -13 + 10x + 3x2 + (32 * -1 + 16x * -1) = 0 -13 + 10x + 3x2 + (-32 + -16x) = 0 Reorder the terms: -13 + -32 + 10x + -16x + 3x2 = 0 Combine like terms: -13 + -32 = -45 -45 + 10x + -16x + 3x2 = 0 Combine like terms: 10x + -16x = -6x -45 + -6x + 3x2 = 0 Solving -45 + -6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-15 + -2x + x2) = 0 Factor a trinomial. 3((-3 + -1x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(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 = {-3, 5}
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