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Simplifying -1x + -5x(6x + x) + -2x = 0 Combine like terms: 6x + x = 7x -1x + -5x(7x) + -2x = 0 Remove parenthesis around (7x) -1x + -5x * 7x + -2x = 0 Reorder the terms for easier multiplication: -1x + -5 * 7x * x + -2x = 0 Multiply -5 * 7 -1x + -35x * x + -2x = 0 Multiply x * x -1x + -35x2 + -2x = 0 Reorder the terms: -1x + -2x + -35x2 = 0 Combine like terms: -1x + -2x = -3x -3x + -35x2 = 0 Solving -3x + -35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + 35x) = 0 Ignore the factor -1.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 '(3 + 35x)' equal to zero and attempt to solve: Simplifying 3 + 35x = 0 Solving 3 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 35x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 35x = 0 + -3 35x = 0 + -3 Combine like terms: 0 + -3 = -3 35x = -3 Divide each side by '35'. x = -0.08571428571 Simplifying x = -0.08571428571Solution
x = {0, -0.08571428571}
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