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Simplifying (2x + -3)(7x + 1) = 0 Reorder the terms: (-3 + 2x)(7x + 1) = 0 Reorder the terms: (-3 + 2x)(1 + 7x) = 0 Multiply (-3 + 2x) * (1 + 7x) (-3(1 + 7x) + 2x * (1 + 7x)) = 0 ((1 * -3 + 7x * -3) + 2x * (1 + 7x)) = 0 ((-3 + -21x) + 2x * (1 + 7x)) = 0 (-3 + -21x + (1 * 2x + 7x * 2x)) = 0 (-3 + -21x + (2x + 14x2)) = 0 Combine like terms: -21x + 2x = -19x (-3 + -19x + 14x2) = 0 Solving -3 + -19x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -7x)(3 + -2x) = 0Subproblem 1
Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.1428571429, 1.5}
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