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Simplifying (3x + -5)(9x + 7) + -1(9x + 7)(8x + -7) = 0 Reorder the terms: (-5 + 3x)(9x + 7) + -1(9x + 7)(8x + -7) = 0 Reorder the terms: (-5 + 3x)(7 + 9x) + -1(9x + 7)(8x + -7) = 0 Multiply (-5 + 3x) * (7 + 9x) (-5(7 + 9x) + 3x * (7 + 9x)) + -1(9x + 7)(8x + -7) = 0 ((7 * -5 + 9x * -5) + 3x * (7 + 9x)) + -1(9x + 7)(8x + -7) = 0 ((-35 + -45x) + 3x * (7 + 9x)) + -1(9x + 7)(8x + -7) = 0 (-35 + -45x + (7 * 3x + 9x * 3x)) + -1(9x + 7)(8x + -7) = 0 (-35 + -45x + (21x + 27x2)) + -1(9x + 7)(8x + -7) = 0 Combine like terms: -45x + 21x = -24x (-35 + -24x + 27x2) + -1(9x + 7)(8x + -7) = 0 Reorder the terms: -35 + -24x + 27x2 + -1(7 + 9x)(8x + -7) = 0 Reorder the terms: -35 + -24x + 27x2 + -1(7 + 9x)(-7 + 8x) = 0 Multiply (7 + 9x) * (-7 + 8x) -35 + -24x + 27x2 + -1(7(-7 + 8x) + 9x * (-7 + 8x)) = 0 -35 + -24x + 27x2 + -1((-7 * 7 + 8x * 7) + 9x * (-7 + 8x)) = 0 -35 + -24x + 27x2 + -1((-49 + 56x) + 9x * (-7 + 8x)) = 0 -35 + -24x + 27x2 + -1(-49 + 56x + (-7 * 9x + 8x * 9x)) = 0 -35 + -24x + 27x2 + -1(-49 + 56x + (-63x + 72x2)) = 0 Combine like terms: 56x + -63x = -7x -35 + -24x + 27x2 + -1(-49 + -7x + 72x2) = 0 -35 + -24x + 27x2 + (-49 * -1 + -7x * -1 + 72x2 * -1) = 0 -35 + -24x + 27x2 + (49 + 7x + -72x2) = 0 Reorder the terms: -35 + 49 + -24x + 7x + 27x2 + -72x2 = 0 Combine like terms: -35 + 49 = 14 14 + -24x + 7x + 27x2 + -72x2 = 0 Combine like terms: -24x + 7x = -17x 14 + -17x + 27x2 + -72x2 = 0 Combine like terms: 27x2 + -72x2 = -45x2 14 + -17x + -45x2 = 0 Solving 14 + -17x + -45x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(7 + 9x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(7 + 9x)' equal to zero and attempt to solve: Simplifying 7 + 9x = 0 Solving 7 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 0 + -7 9x = 0 + -7 Combine like terms: 0 + -7 = -7 9x = -7 Divide each side by '9'. x = -0.7777777778 Simplifying x = -0.7777777778Solution
x = {0.4, -0.7777777778}
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