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Simplifying 4x2 + 5x = 80x Reorder the terms: 5x + 4x2 = 80x Solving 5x + 4x2 = 80x Solving for variable 'x'. Reorder the terms: 5x + -80x + 4x2 = 80x + -80x Combine like terms: 5x + -80x = -75x -75x + 4x2 = 80x + -80x Combine like terms: 80x + -80x = 0 -75x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-75 + 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 '(-75 + 4x)' equal to zero and attempt to solve: Simplifying -75 + 4x = 0 Solving -75 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 4x = 0 + 75 Combine like terms: -75 + 75 = 0 0 + 4x = 0 + 75 4x = 0 + 75 Combine like terms: 0 + 75 = 75 4x = 75 Divide each side by '4'. x = 18.75 Simplifying x = 18.75Solution
x = {0, 18.75}
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