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Simplifying -40x = -4x2 + 47x Reorder the terms: -40x = 47x + -4x2 Solving -40x = 47x + -4x2 Solving for variable 'x'. Combine like terms: -40x + -47x = -87x -87x + 4x2 = 47x + -4x2 + -47x + 4x2 Reorder the terms: -87x + 4x2 = 47x + -47x + -4x2 + 4x2 Combine like terms: 47x + -47x = 0 -87x + 4x2 = 0 + -4x2 + 4x2 -87x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -87x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-87 + 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 '(-87 + 4x)' equal to zero and attempt to solve: Simplifying -87 + 4x = 0 Solving -87 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + 4x = 0 + 87 Combine like terms: -87 + 87 = 0 0 + 4x = 0 + 87 4x = 0 + 87 Combine like terms: 0 + 87 = 87 4x = 87 Divide each side by '4'. x = 21.75 Simplifying x = 21.75Solution
x = {0, 21.75}
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