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Simplifying 2x2 + -7x = 4x Reorder the terms: -7x + 2x2 = 4x Solving -7x + 2x2 = 4x Solving for variable 'x'. Reorder the terms: -7x + -4x + 2x2 = 4x + -4x Combine like terms: -7x + -4x = -11x -11x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -11x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-11 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 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 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Divide each side by '2'. x = 5.5 Simplifying x = 5.5Solution
x = {0, 5.5}
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