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Simplifying 3x2 + 15x = x Reorder the terms: 15x + 3x2 = x Solving 15x + 3x2 = x Solving for variable 'x'. Reorder the terms: 15x + -1x + 3x2 = x + -1x Combine like terms: 15x + -1x = 14x 14x + 3x2 = x + -1x Combine like terms: x + -1x = 0 14x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(14 + 3x) = 0Subproblem 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 '(14 + 3x)' equal to zero and attempt to solve: Simplifying 14 + 3x = 0 Solving 14 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 0 + -14 3x = 0 + -14 Combine like terms: 0 + -14 = -14 3x = -14 Divide each side by '3'. x = -4.666666667 Simplifying x = -4.666666667Solution
x = {0, -4.666666667}
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