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Simplifying 12x3 + -5x2 + -7x = 0 Reorder the terms: -7x + -5x2 + 12x3 = 0 Solving -7x + -5x2 + 12x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + -5x + 12x2) = 0 Factor a trinomial. x((-7 + -12x)(1 + -1x)) = 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 '(-7 + -12x)' equal to zero and attempt to solve: Simplifying -7 + -12x = 0 Solving -7 + -12x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -12x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -12x = 0 + 7 -12x = 0 + 7 Combine like terms: 0 + 7 = 7 -12x = 7 Divide each side by '-12'. x = -0.5833333333 Simplifying x = -0.5833333333Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, -0.5833333333, 1}
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