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Simplifying 6x2 + -8x * 94 = 0 Reorder the terms for easier multiplication: 6x2 + -8 * 94x = 0 Multiply -8 * 94 6x2 + -752x = 0 Reorder the terms: -752x + 6x2 = 0 Solving -752x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-376 + 3x) = 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 '(-376 + 3x)' equal to zero and attempt to solve: Simplifying -376 + 3x = 0 Solving -376 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '376' to each side of the equation. -376 + 376 + 3x = 0 + 376 Combine like terms: -376 + 376 = 0 0 + 3x = 0 + 376 3x = 0 + 376 Combine like terms: 0 + 376 = 376 3x = 376 Divide each side by '3'. x = 125.3333333 Simplifying x = 125.3333333Solution
x = {0, 125.3333333}
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