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Simplifying 8x2 + 7x(4 + 1) = 0 Combine like terms: 4 + 1 = 5 8x2 + 7x(5) = 0 Reorder the terms for easier multiplication: 8x2 + 7 * 5x = 0 Multiply 7 * 5 8x2 + 35x = 0 Reorder the terms: 35x + 8x2 = 0 Solving 35x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(35 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying 35 + 8x = 0 Solving 35 + 8x = 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 + 8x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = 0 + -35 8x = 0 + -35 Combine like terms: 0 + -35 = -35 8x = -35 Divide each side by '8'. x = -4.375 Simplifying x = -4.375Solution
x = {0, -4.375}
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