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Simplifying 5x(x + -1) + -2(2 + 2 + -7x) = -8 Reorder the terms: 5x(-1 + x) + -2(2 + 2 + -7x) = -8 (-1 * 5x + x * 5x) + -2(2 + 2 + -7x) = -8 (-5x + 5x2) + -2(2 + 2 + -7x) = -8 Combine like terms: 2 + 2 = 4 -5x + 5x2 + -2(4 + -7x) = -8 -5x + 5x2 + (4 * -2 + -7x * -2) = -8 -5x + 5x2 + (-8 + 14x) = -8 Reorder the terms: -8 + -5x + 14x + 5x2 = -8 Combine like terms: -5x + 14x = 9x -8 + 9x + 5x2 = -8 Add '8' to each side of the equation. -8 + 9x + 8 + 5x2 = -8 + 8 Reorder the terms: -8 + 8 + 9x + 5x2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + 9x + 5x2 = -8 + 8 9x + 5x2 = -8 + 8 Combine like terms: -8 + 8 = 0 9x + 5x2 = 0 Solving 9x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 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 '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {0, -1.8}
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