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Simplifying 3x3 + -9x2 + -5x = 6x2 + 37x Reorder the terms: -5x + -9x2 + 3x3 = 6x2 + 37x Reorder the terms: -5x + -9x2 + 3x3 = 37x + 6x2 Solving -5x + -9x2 + 3x3 = 37x + 6x2 Solving for variable 'x'. Reorder the terms: -5x + -37x + -9x2 + -6x2 + 3x3 = 37x + 6x2 + -37x + -6x2 Combine like terms: -5x + -37x = -42x -42x + -9x2 + -6x2 + 3x3 = 37x + 6x2 + -37x + -6x2 Combine like terms: -9x2 + -6x2 = -15x2 -42x + -15x2 + 3x3 = 37x + 6x2 + -37x + -6x2 Reorder the terms: -42x + -15x2 + 3x3 = 37x + -37x + 6x2 + -6x2 Combine like terms: 37x + -37x = 0 -42x + -15x2 + 3x3 = 0 + 6x2 + -6x2 -42x + -15x2 + 3x3 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -42x + -15x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-14 + -5x + x2) = 0 Factor a trinomial. 3x((-2 + -1x)(7 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, -2, 7}
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