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Simplifying 6x(x + -9) = 11x2 + -55x Reorder the terms: 6x(-9 + x) = 11x2 + -55x (-9 * 6x + x * 6x) = 11x2 + -55x (-54x + 6x2) = 11x2 + -55x Reorder the terms: -54x + 6x2 = -55x + 11x2 Solving -54x + 6x2 = -55x + 11x2 Solving for variable 'x'. Reorder the terms: -54x + 55x + 6x2 + -11x2 = -55x + 11x2 + 55x + -11x2 Combine like terms: -54x + 55x = 1x 1x + 6x2 + -11x2 = -55x + 11x2 + 55x + -11x2 Combine like terms: 6x2 + -11x2 = -5x2 1x + -5x2 = -55x + 11x2 + 55x + -11x2 Reorder the terms: 1x + -5x2 = -55x + 55x + 11x2 + -11x2 Combine like terms: -55x + 55x = 0 1x + -5x2 = 0 + 11x2 + -11x2 1x + -5x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 1x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -5x) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, 0.2}
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