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Simplifying 5x2 + -7x3 + 8x2 + -1(-9x3) = 0 Remove parenthesis around (-9x3) 5x2 + -7x3 + 8x2 + -1 * -9x3 = 0 Multiply -1 * -9 5x2 + -7x3 + 8x2 + 9x3 = 0 Reorder the terms: 5x2 + 8x2 + -7x3 + 9x3 = 0 Combine like terms: 5x2 + 8x2 = 13x2 13x2 + -7x3 + 9x3 = 0 Combine like terms: -7x3 + 9x3 = 2x3 13x2 + 2x3 = 0 Solving 13x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(13 + 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 '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Solution
x = {0, -6.5}
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