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Simplifying 7x2 + -8x = 2x2 + 4x Reorder the terms: -8x + 7x2 = 2x2 + 4x Reorder the terms: -8x + 7x2 = 4x + 2x2 Solving -8x + 7x2 = 4x + 2x2 Solving for variable 'x'. Reorder the terms: -8x + -4x + 7x2 + -2x2 = 4x + 2x2 + -4x + -2x2 Combine like terms: -8x + -4x = -12x -12x + 7x2 + -2x2 = 4x + 2x2 + -4x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 -12x + 5x2 = 4x + 2x2 + -4x + -2x2 Reorder the terms: -12x + 5x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 -12x + 5x2 = 0 + 2x2 + -2x2 -12x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -12x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-12 + 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 '(-12 + 5x)' equal to zero and attempt to solve: Simplifying -12 + 5x = 0 Solving -12 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 0 + 12 5x = 0 + 12 Combine like terms: 0 + 12 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4Solution
x = {0, 2.4}
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