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Simplifying 36x3 + 4x2 + -7x = 0 Reorder the terms: -7x + 4x2 + 36x3 = 0 Solving -7x + 4x2 + 36x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 4x + 36x2) = 0 Factor a trinomial. x((-1 + -2x)(7 + -18x)) = 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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 3
Set the factor '(7 + -18x)' equal to zero and attempt to solve: Simplifying 7 + -18x = 0 Solving 7 + -18x = 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 + -18x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -18x = 0 + -7 -18x = 0 + -7 Combine like terms: 0 + -7 = -7 -18x = -7 Divide each side by '-18'. x = 0.3888888889 Simplifying x = 0.3888888889Solution
x = {0, -0.5, 0.3888888889}
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