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Simplifying 0 = 4x2 + -5x Reorder the terms: 0 = -5x + 4x2 Solving 0 = -5x + 4x2 Solving for variable 'x'. Remove the zero: 5x + -4x2 = -5x + 4x2 + 5x + -4x2 Reorder the terms: 5x + -4x2 = -5x + 5x + 4x2 + -4x2 Combine like terms: -5x + 5x = 0 5x + -4x2 = 0 + 4x2 + -4x2 5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {0, 1.25}
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