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Simplifying 24x2 + 10x3 + -4x2 = 0 Reorder the terms: 24x2 + -4x2 + 10x3 = 0 Combine like terms: 24x2 + -4x2 = 20x2 20x2 + 10x3 = 0 Solving 20x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x2'. 10x2(2 + x) = 0 Ignore the factor 10.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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