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Simplifying 1 + 8x2 + -7x = 2x2 + 1 + -2x Reorder the terms: 1 + -7x + 8x2 = 2x2 + 1 + -2x Reorder the terms: 1 + -7x + 8x2 = 1 + -2x + 2x2 Add '-1' to each side of the equation. 1 + -7x + -1 + 8x2 = 1 + -2x + -1 + 2x2 Reorder the terms: 1 + -1 + -7x + 8x2 = 1 + -2x + -1 + 2x2 Combine like terms: 1 + -1 = 0 0 + -7x + 8x2 = 1 + -2x + -1 + 2x2 -7x + 8x2 = 1 + -2x + -1 + 2x2 Reorder the terms: -7x + 8x2 = 1 + -1 + -2x + 2x2 Combine like terms: 1 + -1 = 0 -7x + 8x2 = 0 + -2x + 2x2 -7x + 8x2 = -2x + 2x2 Solving -7x + 8x2 = -2x + 2x2 Solving for variable 'x'. Reorder the terms: -7x + 2x + 8x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: -7x + 2x = -5x -5x + 8x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: 8x2 + -2x2 = 6x2 -5x + 6x2 = -2x + 2x2 + 2x + -2x2 Reorder the terms: -5x + 6x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -5x + 6x2 = 0 + 2x2 + -2x2 -5x + 6x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 6x) = 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 '(-5 + 6x)' equal to zero and attempt to solve: Simplifying -5 + 6x = 0 Solving -5 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 0 + 5 6x = 0 + 5 Combine like terms: 0 + 5 = 5 6x = 5 Divide each side by '6'. x = 0.8333333333 Simplifying x = 0.8333333333Solution
x = {0, 0.8333333333}
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