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Simplifying 56x3 + 24x2 + 81x2 = 0 Reorder the terms: 24x2 + 81x2 + 56x3 = 0 Combine like terms: 24x2 + 81x2 = 105x2 105x2 + 56x3 = 0 Solving 105x2 + 56x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2'. 7x2(15 + 8x) = 0 Ignore the factor 7.Subproblem 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 '(15 + 8x)' equal to zero and attempt to solve: Simplifying 15 + 8x = 0 Solving 15 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 0 + -15 8x = 0 + -15 Combine like terms: 0 + -15 = -15 8x = -15 Divide each side by '8'. x = -1.875 Simplifying x = -1.875Solution
x = {0, -1.875}
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