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Simplifying -5x(x + 1) = -4x + -7x Reorder the terms: -5x(1 + x) = -4x + -7x (1 * -5x + x * -5x) = -4x + -7x (-5x + -5x2) = -4x + -7x Combine like terms: -4x + -7x = -11x -5x + -5x2 = -11x Solving -5x + -5x2 = -11x Solving for variable 'x'. Reorder the terms: -5x + 11x + -5x2 = -11x + 11x Combine like terms: -5x + 11x = 6x 6x + -5x2 = -11x + 11x Combine like terms: -11x + 11x = 0 6x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + -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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {0, 1.2}
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