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Simplifying -40x2 + 16x = -25x2 Reorder the terms: 16x + -40x2 = -25x2 Solving 16x + -40x2 = -25x2 Solving for variable 'x'. Combine like terms: -40x2 + 25x2 = -15x2 16x + -15x2 = -25x2 + 25x2 Combine like terms: -25x2 + 25x2 = 0 16x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(16 + -15x) = 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 '(16 + -15x)' equal to zero and attempt to solve: Simplifying 16 + -15x = 0 Solving 16 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -15x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -15x = 0 + -16 -15x = 0 + -16 Combine like terms: 0 + -16 = -16 -15x = -16 Divide each side by '-15'. x = 1.066666667 Simplifying x = 1.066666667Solution
x = {0, 1.066666667}
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