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Simplifying 33x4 + -70x3 + 25x2 = 0 Reorder the terms: 25x2 + -70x3 + 33x4 = 0 Solving 25x2 + -70x3 + 33x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(25 + -70x + 33x2) = 0 Factor a trinomial. x2((5 + -11x)(5 + -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 + -11x)' equal to zero and attempt to solve: Simplifying 5 + -11x = 0 Solving 5 + -11x = 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 + -11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 0 + -5 -11x = 0 + -5 Combine like terms: 0 + -5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545Subproblem 3
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 = 1.666666667Solution
x = {0, 0.4545454545, 1.666666667}
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