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Simplifying (9x2 + 10x + 4) + -1(9x2 + 5x + -1) = 0 Reorder the terms: (4 + 10x + 9x2) + -1(9x2 + 5x + -1) = 0 Remove parenthesis around (4 + 10x + 9x2) 4 + 10x + 9x2 + -1(9x2 + 5x + -1) = 0 Reorder the terms: 4 + 10x + 9x2 + -1(-1 + 5x + 9x2) = 0 4 + 10x + 9x2 + (-1 * -1 + 5x * -1 + 9x2 * -1) = 0 4 + 10x + 9x2 + (1 + -5x + -9x2) = 0 Reorder the terms: 4 + 1 + 10x + -5x + 9x2 + -9x2 = 0 Combine like terms: 4 + 1 = 5 5 + 10x + -5x + 9x2 + -9x2 = 0 Combine like terms: 10x + -5x = 5x 5 + 5x + 9x2 + -9x2 = 0 Combine like terms: 9x2 + -9x2 = 0 5 + 5x + 0 = 0 5 + 5x = 0 Solving 5 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 0 + -5 5x = 0 + -5 Combine like terms: 0 + -5 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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