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Simplifying 4x2 + -5(3 + -1x)(x + -3) + -9x2 + 12x + 4 = 35 Reorder the terms: 4x2 + -5(3 + -1x)(-3 + x) + -9x2 + 12x + 4 = 35 Multiply (3 + -1x) * (-3 + x) 4x2 + -5(3(-3 + x) + -1x * (-3 + x)) + -9x2 + 12x + 4 = 35 4x2 + -5((-3 * 3 + x * 3) + -1x * (-3 + x)) + -9x2 + 12x + 4 = 35 4x2 + -5((-9 + 3x) + -1x * (-3 + x)) + -9x2 + 12x + 4 = 35 4x2 + -5(-9 + 3x + (-3 * -1x + x * -1x)) + -9x2 + 12x + 4 = 35 4x2 + -5(-9 + 3x + (3x + -1x2)) + -9x2 + 12x + 4 = 35 Combine like terms: 3x + 3x = 6x 4x2 + -5(-9 + 6x + -1x2) + -9x2 + 12x + 4 = 35 4x2 + (-9 * -5 + 6x * -5 + -1x2 * -5) + -9x2 + 12x + 4 = 35 4x2 + (45 + -30x + 5x2) + -9x2 + 12x + 4 = 35 Reorder the terms: 45 + 4 + -30x + 12x + 4x2 + 5x2 + -9x2 = 35 Combine like terms: 45 + 4 = 49 49 + -30x + 12x + 4x2 + 5x2 + -9x2 = 35 Combine like terms: -30x + 12x = -18x 49 + -18x + 4x2 + 5x2 + -9x2 = 35 Combine like terms: 4x2 + 5x2 = 9x2 49 + -18x + 9x2 + -9x2 = 35 Combine like terms: 9x2 + -9x2 = 0 49 + -18x + 0 = 35 49 + -18x = 35 Solving 49 + -18x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -18x = 35 + -49 Combine like terms: 49 + -49 = 0 0 + -18x = 35 + -49 -18x = 35 + -49 Combine like terms: 35 + -49 = -14 -18x = -14 Divide each side by '-18'. x = 0.7777777778 Simplifying x = 0.7777777778
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