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Simplifying 8x4 + 14x3 = 15x2 Reorder the terms: 14x3 + 8x4 = 15x2 Solving 14x3 + 8x4 = 15x2 Solving for variable 'x'. Reorder the terms: -15x2 + 14x3 + 8x4 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -15x2 + 14x3 + 8x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-15 + 14x + 8x2) = 0 Factor a trinomial. x2((-5 + -2x)(3 + -4x)) = 0Subproblem 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 '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 3
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 = 0.75Solution
x = {0, -2.5, 0.75}
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