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Simplifying 9x4 + 9x3 = 10x2 Reorder the terms: 9x3 + 9x4 = 10x2 Solving 9x3 + 9x4 = 10x2 Solving for variable 'x'. Reorder the terms: -10x2 + 9x3 + 9x4 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -10x2 + 9x3 + 9x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-10 + 9x + 9x2) = 0 Factor a trinomial. x2((-5 + -3x)(2 + -3x)) = 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 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 3
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, -1.666666667, 0.6666666667}
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