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Simplifying -40x2 = 25x Solving -40x2 = 25x Solving for variable 'x'. Reorder the terms: -25x + -40x2 = 25x + -25x Combine like terms: 25x + -25x = 0 -25x + -40x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(5 + 8x) = 0 Ignore the factor -5.Subproblem 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 '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {0, -0.625}
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