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Simplifying x2 + -5x = -4x2 + 3x Reorder the terms: -5x + x2 = -4x2 + 3x Reorder the terms: -5x + x2 = 3x + -4x2 Solving -5x + x2 = 3x + -4x2 Solving for variable 'x'. Reorder the terms: -5x + -3x + x2 + 4x2 = 3x + -4x2 + -3x + 4x2 Combine like terms: -5x + -3x = -8x -8x + x2 + 4x2 = 3x + -4x2 + -3x + 4x2 Combine like terms: x2 + 4x2 = 5x2 -8x + 5x2 = 3x + -4x2 + -3x + 4x2 Reorder the terms: -8x + 5x2 = 3x + -3x + -4x2 + 4x2 Combine like terms: 3x + -3x = 0 -8x + 5x2 = 0 + -4x2 + 4x2 -8x + 5x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -8x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + 5x) = 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 '(-8 + 5x)' equal to zero and attempt to solve: Simplifying -8 + 5x = 0 Solving -8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 0 + 8 5x = 0 + 8 Combine like terms: 0 + 8 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6Solution
x = {0, 1.6}
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