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Simplifying (5x2 + -3x + 7x) + (9x2 + 2x2 + 7x) = 0 Reorder the terms: (-3x + 7x + 5x2) + (9x2 + 2x2 + 7x) = 0 Combine like terms: -3x + 7x = 4x (4x + 5x2) + (9x2 + 2x2 + 7x) = 0 Remove parenthesis around (4x + 5x2) 4x + 5x2 + (9x2 + 2x2 + 7x) = 0 Reorder the terms: 4x + 5x2 + (7x + 9x2 + 2x2) = 0 Combine like terms: 9x2 + 2x2 = 11x2 4x + 5x2 + (7x + 11x2) = 0 Remove parenthesis around (7x + 11x2) 4x + 5x2 + 7x + 11x2 = 0 Reorder the terms: 4x + 7x + 5x2 + 11x2 = 0 Combine like terms: 4x + 7x = 11x 11x + 5x2 + 11x2 = 0 Combine like terms: 5x2 + 11x2 = 16x2 11x + 16x2 = 0 Solving 11x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 16x) = 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 + 16x)' equal to zero and attempt to solve: Simplifying 11 + 16x = 0 Solving 11 + 16x = 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 + 16x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 16x = 0 + -11 16x = 0 + -11 Combine like terms: 0 + -11 = -11 16x = -11 Divide each side by '16'. x = -0.6875 Simplifying x = -0.6875Solution
x = {0, -0.6875}
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