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Simplifying 8x4 + -10x3 = 12x2 Reorder the terms: -10x3 + 8x4 = 12x2 Solving -10x3 + 8x4 = 12x2 Solving for variable 'x'. Reorder the terms: -12x2 + -10x3 + 8x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12x2 + -10x3 + 8x4 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-6 + -5x + 4x2) = 0 Factor a trinomial. 2x2((-3 + -4x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -0.75, 2}
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