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Simplifying 8x3 + -21x = 2x2 Reorder the terms: -21x + 8x3 = 2x2 Solving -21x + 8x3 = 2x2 Solving for variable 'x'. Reorder the terms: -21x + -2x2 + 8x3 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -21x + -2x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-21 + -2x + 8x2) = 0 Factor a trinomial. x((-3 + -2x)(7 + -4x)) = 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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {0, -1.5, 1.75}
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