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Simplifying 85x2 + -45x = 4x2 + -5x Reorder the terms: -45x + 85x2 = 4x2 + -5x Reorder the terms: -45x + 85x2 = -5x + 4x2 Solving -45x + 85x2 = -5x + 4x2 Solving for variable 'x'. Reorder the terms: -45x + 5x + 85x2 + -4x2 = -5x + 4x2 + 5x + -4x2 Combine like terms: -45x + 5x = -40x -40x + 85x2 + -4x2 = -5x + 4x2 + 5x + -4x2 Combine like terms: 85x2 + -4x2 = 81x2 -40x + 81x2 = -5x + 4x2 + 5x + -4x2 Reorder the terms: -40x + 81x2 = -5x + 5x + 4x2 + -4x2 Combine like terms: -5x + 5x = 0 -40x + 81x2 = 0 + 4x2 + -4x2 -40x + 81x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -40x + 81x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-40 + 81x) = 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 '(-40 + 81x)' equal to zero and attempt to solve: Simplifying -40 + 81x = 0 Solving -40 + 81x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 81x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 81x = 0 + 40 81x = 0 + 40 Combine like terms: 0 + 40 = 40 81x = 40 Divide each side by '81'. x = 0.4938271605 Simplifying x = 0.4938271605Solution
x = {0, 0.4938271605}
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