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Simplifying (10x + -9)(7x + -3) = 0 Reorder the terms: (-9 + 10x)(7x + -3) = 0 Reorder the terms: (-9 + 10x)(-3 + 7x) = 0 Multiply (-9 + 10x) * (-3 + 7x) (-9(-3 + 7x) + 10x * (-3 + 7x)) = 0 ((-3 * -9 + 7x * -9) + 10x * (-3 + 7x)) = 0 ((27 + -63x) + 10x * (-3 + 7x)) = 0 (27 + -63x + (-3 * 10x + 7x * 10x)) = 0 (27 + -63x + (-30x + 70x2)) = 0 Combine like terms: -63x + -30x = -93x (27 + -93x + 70x2) = 0 Solving 27 + -93x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -7x)(9 + -10x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(9 + -10x)' equal to zero and attempt to solve: Simplifying 9 + -10x = 0 Solving 9 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10x = 0 + -9 -10x = 0 + -9 Combine like terms: 0 + -9 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9Solution
x = {0.4285714286, 0.9}
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