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Simplifying 8x2 + -30x = 0 Reorder the terms: -30x + 8x2 = 0 Solving -30x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-15 + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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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