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Simplifying 2x2 + 4x + -1 = 7x2 + -7x + -1 Reorder the terms: -1 + 4x + 2x2 = 7x2 + -7x + -1 Reorder the terms: -1 + 4x + 2x2 = -1 + -7x + 7x2 Add '1' to each side of the equation. -1 + 4x + 1 + 2x2 = -1 + -7x + 1 + 7x2 Reorder the terms: -1 + 1 + 4x + 2x2 = -1 + -7x + 1 + 7x2 Combine like terms: -1 + 1 = 0 0 + 4x + 2x2 = -1 + -7x + 1 + 7x2 4x + 2x2 = -1 + -7x + 1 + 7x2 Reorder the terms: 4x + 2x2 = -1 + 1 + -7x + 7x2 Combine like terms: -1 + 1 = 0 4x + 2x2 = 0 + -7x + 7x2 4x + 2x2 = -7x + 7x2 Solving 4x + 2x2 = -7x + 7x2 Solving for variable 'x'. Reorder the terms: 4x + 7x + 2x2 + -7x2 = -7x + 7x2 + 7x + -7x2 Combine like terms: 4x + 7x = 11x 11x + 2x2 + -7x2 = -7x + 7x2 + 7x + -7x2 Combine like terms: 2x2 + -7x2 = -5x2 11x + -5x2 = -7x + 7x2 + 7x + -7x2 Reorder the terms: 11x + -5x2 = -7x + 7x + 7x2 + -7x2 Combine like terms: -7x + 7x = 0 11x + -5x2 = 0 + 7x2 + -7x2 11x + -5x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 11x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 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 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2Solution
x = {0, 2.2}
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