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Simplifying 0 = 15x2 + 3x + -144 Reorder the terms: 0 = -144 + 3x + 15x2 Solving 0 = -144 + 3x + 15x2 Solving for variable 'x'. Combine like terms: 0 + 144 = 144 144 + -3x + -15x2 = -144 + 3x + 15x2 + 144 + -3x + -15x2 Reorder the terms: 144 + -3x + -15x2 = -144 + 144 + 3x + -3x + 15x2 + -15x2 Combine like terms: -144 + 144 = 0 144 + -3x + -15x2 = 0 + 3x + -3x + 15x2 + -15x2 144 + -3x + -15x2 = 3x + -3x + 15x2 + -15x2 Combine like terms: 3x + -3x = 0 144 + -3x + -15x2 = 0 + 15x2 + -15x2 144 + -3x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 144 + -3x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(48 + -1x + -5x2) = 0 Factor a trinomial. 3((3 + -1x)(16 + 5x)) = 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 '(16 + 5x)' equal to zero and attempt to solve: Simplifying 16 + 5x = 0 Solving 16 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 0 + -16 5x = 0 + -16 Combine like terms: 0 + -16 = -16 5x = -16 Divide each side by '5'. x = -3.2 Simplifying x = -3.2Solution
x = {3, -3.2}
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