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Simplifying 8x3 + -4x2 + 26 = 26 Reorder the terms: 26 + -4x2 + 8x3 = 26 Add '-26' to each side of the equation. 26 + -4x2 + -26 + 8x3 = 26 + -26 Reorder the terms: 26 + -26 + -4x2 + 8x3 = 26 + -26 Combine like terms: 26 + -26 = 0 0 + -4x2 + 8x3 = 26 + -26 -4x2 + 8x3 = 26 + -26 Combine like terms: 26 + -26 = 0 -4x2 + 8x3 = 0 Solving -4x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(-1 + 2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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