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Simplifying 8x3 = -30x2 Solving 8x3 = -30x2 Solving for variable 'x'. Reorder the terms: 30x2 + 8x3 = -30x2 + 30x2 Combine like terms: -30x2 + 30x2 = 0 30x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(15 + 4x) = 0 Ignore the factor 2.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 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 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 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Solution
x = {0, -3.75}
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