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Simplifying (5x2 + -7x) + -1(x + -1x2) = 0 Reorder the terms: (-7x + 5x2) + -1(x + -1x2) = 0 Remove parenthesis around (-7x + 5x2) -7x + 5x2 + -1(x + -1x2) = 0 -7x + 5x2 + (x * -1 + -1x2 * -1) = 0 -7x + 5x2 + (-1x + 1x2) = 0 Reorder the terms: -7x + -1x + 5x2 + 1x2 = 0 Combine like terms: -7x + -1x = -8x -8x + 5x2 + 1x2 = 0 Combine like terms: 5x2 + 1x2 = 6x2 -8x + 6x2 = 0 Solving -8x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + 3x) = 0 Ignore the factor 2.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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {0, 1.333333333}
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