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Simplifying 2(9x3 + 25x2 + 16x) = 0 Reorder the terms: 2(16x + 25x2 + 9x3) = 0 (16x * 2 + 25x2 * 2 + 9x3 * 2) = 0 (32x + 50x2 + 18x3) = 0 Solving 32x + 50x2 + 18x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(16 + 25x + 9x2) = 0 Factor a trinomial. 2x((16 + 9x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(16 + 9x)' equal to zero and attempt to solve: Simplifying 16 + 9x = 0 Solving 16 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 0 + -16 9x = 0 + -16 Combine like terms: 0 + -16 = -16 9x = -16 Divide each side by '9'. x = -1.777777778 Simplifying x = -1.777777778Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1.777777778, -1}
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