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Simplifying 13x2 + 11x3 + 15x2 = 0 Reorder the terms: 13x2 + 15x2 + 11x3 = 0 Combine like terms: 13x2 + 15x2 = 28x2 28x2 + 11x3 = 0 Solving 28x2 + 11x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(28 + 11x) = 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 '(28 + 11x)' equal to zero and attempt to solve: Simplifying 28 + 11x = 0 Solving 28 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 11x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 11x = 0 + -28 11x = 0 + -28 Combine like terms: 0 + -28 = -28 11x = -28 Divide each side by '11'. x = -2.545454545 Simplifying x = -2.545454545Solution
x = {0, -2.545454545}
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