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