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Simplifying x = 7x(5 + -2x) x = (5 * 7x + -2x * 7x) x = (35x + -14x2) Solving x = 35x + -14x2 Solving for variable 'x'. Combine like terms: x + -35x = -34x -34x + 14x2 = 35x + -14x2 + -35x + 14x2 Reorder the terms: -34x + 14x2 = 35x + -35x + -14x2 + 14x2 Combine like terms: 35x + -35x = 0 -34x + 14x2 = 0 + -14x2 + 14x2 -34x + 14x2 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 -34x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-17 + 7x) = 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 '(-17 + 7x)' equal to zero and attempt to solve: Simplifying -17 + 7x = 0 Solving -17 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 0 + 17 7x = 0 + 17 Combine like terms: 0 + 17 = 17 7x = 17 Divide each side by '7'. x = 2.428571429 Simplifying x = 2.428571429Solution
x = {0, 2.428571429}
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