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Simplifying 8x + 78x2 + -84x = 0 Reorder the terms: 8x + -84x + 78x2 = 0 Combine like terms: 8x + -84x = -76x -76x + 78x2 = 0 Solving -76x + 78x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-38 + 39x) = 0 Ignore the factor 2.Subproblem 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 '(-38 + 39x)' equal to zero and attempt to solve: Simplifying -38 + 39x = 0 Solving -38 + 39x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 39x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 39x = 0 + 38 39x = 0 + 38 Combine like terms: 0 + 38 = 38 39x = 38 Divide each side by '39'. x = 0.9743589744 Simplifying x = 0.9743589744Solution
x = {0, 0.9743589744}
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