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Simplifying -24x2 + 9x + 396 = 3x2 + 3x + -60 Reorder the terms: 396 + 9x + -24x2 = 3x2 + 3x + -60 Reorder the terms: 396 + 9x + -24x2 = -60 + 3x + 3x2 Solving 396 + 9x + -24x2 = -60 + 3x + 3x2 Solving for variable 'x'. Reorder the terms: 396 + 60 + 9x + -3x + -24x2 + -3x2 = -60 + 3x + 3x2 + 60 + -3x + -3x2 Combine like terms: 396 + 60 = 456 456 + 9x + -3x + -24x2 + -3x2 = -60 + 3x + 3x2 + 60 + -3x + -3x2 Combine like terms: 9x + -3x = 6x 456 + 6x + -24x2 + -3x2 = -60 + 3x + 3x2 + 60 + -3x + -3x2 Combine like terms: -24x2 + -3x2 = -27x2 456 + 6x + -27x2 = -60 + 3x + 3x2 + 60 + -3x + -3x2 Reorder the terms: 456 + 6x + -27x2 = -60 + 60 + 3x + -3x + 3x2 + -3x2 Combine like terms: -60 + 60 = 0 456 + 6x + -27x2 = 0 + 3x + -3x + 3x2 + -3x2 456 + 6x + -27x2 = 3x + -3x + 3x2 + -3x2 Combine like terms: 3x + -3x = 0 456 + 6x + -27x2 = 0 + 3x2 + -3x2 456 + 6x + -27x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 456 + 6x + -27x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(152 + 2x + -9x2) = 0 Factor a trinomial. 3((38 + -9x)(4 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(38 + -9x)' equal to zero and attempt to solve: Simplifying 38 + -9x = 0 Solving 38 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -9x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -9x = 0 + -38 -9x = 0 + -38 Combine like terms: 0 + -38 = -38 -9x = -38 Divide each side by '-9'. x = 4.222222222 Simplifying x = 4.222222222Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {4.222222222, -4}
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