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Simplifying (5x2 + -6x + 3) + -1(9x2 + -6x + 9) = 0 Reorder the terms: (3 + -6x + 5x2) + -1(9x2 + -6x + 9) = 0 Remove parenthesis around (3 + -6x + 5x2) 3 + -6x + 5x2 + -1(9x2 + -6x + 9) = 0 Reorder the terms: 3 + -6x + 5x2 + -1(9 + -6x + 9x2) = 0 3 + -6x + 5x2 + (9 * -1 + -6x * -1 + 9x2 * -1) = 0 3 + -6x + 5x2 + (-9 + 6x + -9x2) = 0 Reorder the terms: 3 + -9 + -6x + 6x + 5x2 + -9x2 = 0 Combine like terms: 3 + -9 = -6 -6 + -6x + 6x + 5x2 + -9x2 = 0 Combine like terms: -6x + 6x = 0 -6 + 0 + 5x2 + -9x2 = 0 -6 + 5x2 + -9x2 = 0 Combine like terms: 5x2 + -9x2 = -4x2 -6 + -4x2 = 0 Solving -6 + -4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -4x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4x2 = 0 + 6 -4x2 = 0 + 6 Combine like terms: 0 + 6 = 6 -4x2 = 6 Divide each side by '-4'. x2 = -1.5 Simplifying x2 = -1.5 Reorder the terms: 1.5 + x2 = -1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 1.5 + x2 = 0.0 The solution to this equation could not be determined.
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