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Simplifying 5x(x + -7) = 11x2 + -36x Reorder the terms: 5x(-7 + x) = 11x2 + -36x (-7 * 5x + x * 5x) = 11x2 + -36x (-35x + 5x2) = 11x2 + -36x Reorder the terms: -35x + 5x2 = -36x + 11x2 Solving -35x + 5x2 = -36x + 11x2 Solving for variable 'x'. Reorder the terms: -35x + 36x + 5x2 + -11x2 = -36x + 11x2 + 36x + -11x2 Combine like terms: -35x + 36x = 1x 1x + 5x2 + -11x2 = -36x + 11x2 + 36x + -11x2 Combine like terms: 5x2 + -11x2 = -6x2 1x + -6x2 = -36x + 11x2 + 36x + -11x2 Reorder the terms: 1x + -6x2 = -36x + 36x + 11x2 + -11x2 Combine like terms: -36x + 36x = 0 1x + -6x2 = 0 + 11x2 + -11x2 1x + -6x2 = 11x2 + -11x2 Combine like terms: 11x2 + -11x2 = 0 1x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -6x) = 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 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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