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Simplifying 6x3 + -12x2 + -7x + -6x3 + -2x2 + 9x = 0 Reorder the terms: -7x + 9x + -12x2 + -2x2 + 6x3 + -6x3 = 0 Combine like terms: -7x + 9x = 2x 2x + -12x2 + -2x2 + 6x3 + -6x3 = 0 Combine like terms: -12x2 + -2x2 = -14x2 2x + -14x2 + 6x3 + -6x3 = 0 Combine like terms: 6x3 + -6x3 = 0 2x + -14x2 + 0 = 0 2x + -14x2 = 0 Solving 2x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1 + -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 '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 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 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {0, 0.1428571429}
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