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Simplifying -3x2 + -8x = -6x2 + 96x Reorder the terms: -8x + -3x2 = -6x2 + 96x Reorder the terms: -8x + -3x2 = 96x + -6x2 Solving -8x + -3x2 = 96x + -6x2 Solving for variable 'x'. Reorder the terms: -8x + -96x + -3x2 + 6x2 = 96x + -6x2 + -96x + 6x2 Combine like terms: -8x + -96x = -104x -104x + -3x2 + 6x2 = 96x + -6x2 + -96x + 6x2 Combine like terms: -3x2 + 6x2 = 3x2 -104x + 3x2 = 96x + -6x2 + -96x + 6x2 Reorder the terms: -104x + 3x2 = 96x + -96x + -6x2 + 6x2 Combine like terms: 96x + -96x = 0 -104x + 3x2 = 0 + -6x2 + 6x2 -104x + 3x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 -104x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-104 + 3x) = 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 '(-104 + 3x)' equal to zero and attempt to solve: Simplifying -104 + 3x = 0 Solving -104 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + 3x = 0 + 104 Combine like terms: -104 + 104 = 0 0 + 3x = 0 + 104 3x = 0 + 104 Combine like terms: 0 + 104 = 104 3x = 104 Divide each side by '3'. x = 34.66666667 Simplifying x = 34.66666667Solution
x = {0, 34.66666667}
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