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Simplifying 26x4 + -49x3 + 15x2 = 0 Reorder the terms: 15x2 + -49x3 + 26x4 = 0 Solving 15x2 + -49x3 + 26x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(15 + -49x + 26x2) = 0 Factor a trinomial. x2((5 + -13x)(3 + -2x)) = 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 + -13x)' equal to zero and attempt to solve: Simplifying 5 + -13x = 0 Solving 5 + -13x = 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 + -13x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 0 + -5 -13x = 0 + -5 Combine like terms: 0 + -5 = -5 -13x = -5 Divide each side by '-13'. x = 0.3846153846 Simplifying x = 0.3846153846Subproblem 3
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 = 1.5Solution
x = {0, 0.3846153846, 1.5}
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