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Simplifying 8x * 6x + -5x * 5 = 0 Reorder the terms for easier multiplication: 8 * 6x * x + -5x * 5 = 0 Multiply 8 * 6 48x * x + -5x * 5 = 0 Multiply x * x 48x2 + -5x * 5 = 0 Reorder the terms for easier multiplication: 48x2 + -5 * 5x = 0 Multiply -5 * 5 48x2 + -25x = 0 Reorder the terms: -25x + 48x2 = 0 Solving -25x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-25 + 48x) = 0Subproblem 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 '(-25 + 48x)' equal to zero and attempt to solve: Simplifying -25 + 48x = 0 Solving -25 + 48x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 48x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 48x = 0 + 25 48x = 0 + 25 Combine like terms: 0 + 25 = 25 48x = 25 Divide each side by '48'. x = 0.5208333333 Simplifying x = 0.5208333333Solution
x = {0, 0.5208333333}
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