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Simplifying 3x2 + -26x = 2x Reorder the terms: -26x + 3x2 = 2x Solving -26x + 3x2 = 2x Solving for variable 'x'. Reorder the terms: -26x + -2x + 3x2 = 2x + -2x Combine like terms: -26x + -2x = -28x -28x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -28x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-28 + 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 '(-28 + 3x)' equal to zero and attempt to solve: Simplifying -28 + 3x = 0 Solving -28 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 3x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = 0 + 28 3x = 0 + 28 Combine like terms: 0 + 28 = 28 3x = 28 Divide each side by '3'. x = 9.333333333 Simplifying x = 9.333333333Solution
x = {0, 9.333333333}
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