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Simplifying 8x3 + -26x + -7x = 0 Reorder the terms: -26x + -7x + 8x3 = 0 Combine like terms: -26x + -7x = -33x -33x + 8x3 = 0 Solving -33x + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-33 + 8x2) = 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 '(-33 + 8x2)' equal to zero and attempt to solve: Simplifying -33 + 8x2 = 0 Solving -33 + 8x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 8x2 = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 8x2 = 0 + 33 8x2 = 0 + 33 Combine like terms: 0 + 33 = 33 8x2 = 33 Divide each side by '8'. x2 = 4.125 Simplifying x2 = 4.125 Take the square root of each side: x = {-2.031009601, 2.031009601}Solution
x = {0, -2.031009601, 2.031009601}
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