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Simplifying 15x2 = -2x(11x + 4) Reorder the terms: 15x2 = -2x(4 + 11x) 15x2 = (4 * -2x + 11x * -2x) 15x2 = (-8x + -22x2) Solving 15x2 = -8x + -22x2 Solving for variable 'x'. Reorder the terms: 8x + 15x2 + 22x2 = -8x + -22x2 + 8x + 22x2 Combine like terms: 15x2 + 22x2 = 37x2 8x + 37x2 = -8x + -22x2 + 8x + 22x2 Reorder the terms: 8x + 37x2 = -8x + 8x + -22x2 + 22x2 Combine like terms: -8x + 8x = 0 8x + 37x2 = 0 + -22x2 + 22x2 8x + 37x2 = -22x2 + 22x2 Combine like terms: -22x2 + 22x2 = 0 8x + 37x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(8 + 37x) = 0Subproblem 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 '(8 + 37x)' equal to zero and attempt to solve: Simplifying 8 + 37x = 0 Solving 8 + 37x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 37x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 37x = 0 + -8 37x = 0 + -8 Combine like terms: 0 + -8 = -8 37x = -8 Divide each side by '37'. x = -0.2162162162 Simplifying x = -0.2162162162Solution
x = {0, -0.2162162162}
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