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Simplifying (5x2 + -3x + 7x) + (4x2 + 2x2 + 7x) = 0 Reorder the terms: (-3x + 7x + 5x2) + (4x2 + 2x2 + 7x) = 0 Combine like terms: -3x + 7x = 4x (4x + 5x2) + (4x2 + 2x2 + 7x) = 0 Remove parenthesis around (4x + 5x2) 4x + 5x2 + (4x2 + 2x2 + 7x) = 0 Reorder the terms: 4x + 5x2 + (7x + 4x2 + 2x2) = 0 Combine like terms: 4x2 + 2x2 = 6x2 4x + 5x2 + (7x + 6x2) = 0 Remove parenthesis around (7x + 6x2) 4x + 5x2 + 7x + 6x2 = 0 Reorder the terms: 4x + 7x + 5x2 + 6x2 = 0 Combine like terms: 4x + 7x = 11x 11x + 5x2 + 6x2 = 0 Combine like terms: 5x2 + 6x2 = 11x2 11x + 11x2 = 0 Solving 11x + 11x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '11x'. 11x(1 + x) = 0 Ignore the factor 11.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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