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Simplifying 2x3 = 3x2 + 35x Reorder the terms: 2x3 = 35x + 3x2 Solving 2x3 = 35x + 3x2 Solving for variable 'x'. Reorder the terms: -35x + -3x2 + 2x3 = 35x + 3x2 + -35x + -3x2 Reorder the terms: -35x + -3x2 + 2x3 = 35x + -35x + 3x2 + -3x2 Combine like terms: 35x + -35x = 0 -35x + -3x2 + 2x3 = 0 + 3x2 + -3x2 -35x + -3x2 + 2x3 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -35x + -3x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + -3x + 2x2) = 0 Factor a trinomial. x((-7 + -2x)(5 + -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 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0, -3.5, 5}
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