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Simplifying 7x2 + -4x = 2x2 + -2x Reorder the terms: -4x + 7x2 = 2x2 + -2x Reorder the terms: -4x + 7x2 = -2x + 2x2 Solving -4x + 7x2 = -2x + 2x2 Solving for variable 'x'. Reorder the terms: -4x + 2x + 7x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: -4x + 2x = -2x -2x + 7x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -2x + 5x2 = -2x + 2x2 + 2x + -2x2 Reorder the terms: -2x + 5x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -2x + 5x2 = 0 + 2x2 + -2x2 -2x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 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 '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4Solution
x = {0, 0.4}
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