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Simplifying (7x + 6)(-9x + 3) = 7x + 6 Reorder the terms: (6 + 7x)(-9x + 3) = 7x + 6 Reorder the terms: (6 + 7x)(3 + -9x) = 7x + 6 Multiply (6 + 7x) * (3 + -9x) (6(3 + -9x) + 7x * (3 + -9x)) = 7x + 6 ((3 * 6 + -9x * 6) + 7x * (3 + -9x)) = 7x + 6 ((18 + -54x) + 7x * (3 + -9x)) = 7x + 6 (18 + -54x + (3 * 7x + -9x * 7x)) = 7x + 6 (18 + -54x + (21x + -63x2)) = 7x + 6 Combine like terms: -54x + 21x = -33x (18 + -33x + -63x2) = 7x + 6 Reorder the terms: 18 + -33x + -63x2 = 6 + 7x Solving 18 + -33x + -63x2 = 6 + 7x Solving for variable 'x'. Reorder the terms: 18 + -6 + -33x + -7x + -63x2 = 6 + 7x + -6 + -7x Combine like terms: 18 + -6 = 12 12 + -33x + -7x + -63x2 = 6 + 7x + -6 + -7x Combine like terms: -33x + -7x = -40x 12 + -40x + -63x2 = 6 + 7x + -6 + -7x Reorder the terms: 12 + -40x + -63x2 = 6 + -6 + 7x + -7x Combine like terms: 6 + -6 = 0 12 + -40x + -63x2 = 0 + 7x + -7x 12 + -40x + -63x2 = 7x + -7x Combine like terms: 7x + -7x = 0 12 + -40x + -63x2 = 0 Factor a trinomial. (2 + -9x)(6 + 7x) = 0Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Solution
x = {0.2222222222, -0.8571428571}
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