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Simplifying x(-15x + -64) + -33 = 0 Reorder the terms: x(-64 + -15x) + -33 = 0 (-64 * x + -15x * x) + -33 = 0 (-64x + -15x2) + -33 = 0 Reorder the terms: -33 + -64x + -15x2 = 0 Solving -33 + -64x + -15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(33 + 64x + 15x2) = 0 Factor a trinomial. -1((11 + 3x)(3 + 5x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + 3x)' equal to zero and attempt to solve: Simplifying 11 + 3x = 0 Solving 11 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 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 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6Solution
x = {-3.666666667, -0.6}
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