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Simplifying 8x * 3x + -7x * 5 = 0 Reorder the terms for easier multiplication: 8 * 3x * x + -7x * 5 = 0 Multiply 8 * 3 24x * x + -7x * 5 = 0 Multiply x * x 24x2 + -7x * 5 = 0 Reorder the terms for easier multiplication: 24x2 + -7 * 5x = 0 Multiply -7 * 5 24x2 + -35x = 0 Reorder the terms: -35x + 24x2 = 0 Solving -35x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-35 + 24x) = 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 '(-35 + 24x)' equal to zero and attempt to solve: Simplifying -35 + 24x = 0 Solving -35 + 24x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 24x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 24x = 0 + 35 24x = 0 + 35 Combine like terms: 0 + 35 = 35 24x = 35 Divide each side by '24'. x = 1.458333333 Simplifying x = 1.458333333Solution
x = {0, 1.458333333}
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