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Simplifying 6x(3x + -18) + -32x(-11x + 19) = 0 Reorder the terms: 6x(-18 + 3x) + -32x(-11x + 19) = 0 (-18 * 6x + 3x * 6x) + -32x(-11x + 19) = 0 (-108x + 18x2) + -32x(-11x + 19) = 0 Reorder the terms: -108x + 18x2 + -32x(19 + -11x) = 0 -108x + 18x2 + (19 * -32x + -11x * -32x) = 0 -108x + 18x2 + (-608x + 352x2) = 0 Reorder the terms: -108x + -608x + 18x2 + 352x2 = 0 Combine like terms: -108x + -608x = -716x -716x + 18x2 + 352x2 = 0 Combine like terms: 18x2 + 352x2 = 370x2 -716x + 370x2 = 0 Solving -716x + 370x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-358 + 185x) = 0 Ignore the factor 2.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 '(-358 + 185x)' equal to zero and attempt to solve: Simplifying -358 + 185x = 0 Solving -358 + 185x = 0 Move all terms containing x to the left, all other terms to the right. Add '358' to each side of the equation. -358 + 358 + 185x = 0 + 358 Combine like terms: -358 + 358 = 0 0 + 185x = 0 + 358 185x = 0 + 358 Combine like terms: 0 + 358 = 358 185x = 358 Divide each side by '185'. x = 1.935135135 Simplifying x = 1.935135135Solution
x = {0, 1.935135135}
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