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Simplifying 3x2 + -5x + x2 + -5x = x Reorder the terms: -5x + -5x + 3x2 + x2 = x Combine like terms: -5x + -5x = -10x -10x + 3x2 + x2 = x Combine like terms: 3x2 + x2 = 4x2 -10x + 4x2 = x Solving -10x + 4x2 = x Solving for variable 'x'. Reorder the terms: -10x + -1x + 4x2 = x + -1x Combine like terms: -10x + -1x = -11x -11x + 4x2 = x + -1x Combine like terms: x + -1x = 0 -11x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 4x) = 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 '(-11 + 4x)' equal to zero and attempt to solve: Simplifying -11 + 4x = 0 Solving -11 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 0 + 11 4x = 0 + 11 Combine like terms: 0 + 11 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75Solution
x = {0, 2.75}
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