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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), '-1x'. -1x(5 + 4x) = 0 Ignore the factor -1.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 + 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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