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Simplifying 5(x + -1) + -1x(7 + -1x) = x * x Reorder the terms: 5(-1 + x) + -1x(7 + -1x) = x * x (-1 * 5 + x * 5) + -1x(7 + -1x) = x * x (-5 + 5x) + -1x(7 + -1x) = x * x -5 + 5x + (7 * -1x + -1x * -1x) = x * x -5 + 5x + (-7x + 1x2) = x * x Combine like terms: 5x + -7x = -2x -5 + -2x + 1x2 = x * x Multiply x * x -5 + -2x + 1x2 = x2 Solving -5 + -2x + 1x2 = x2 Solving for variable 'x'. Combine like terms: 1x2 + -1x2 = 0 -5 + -2x + 0 = x2 + -1x2 -5 + -2x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + -2x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-2.5}
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