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Simplifying (4x + 3)(-7x + 1) = 0 Reorder the terms: (3 + 4x)(-7x + 1) = 0 Reorder the terms: (3 + 4x)(1 + -7x) = 0 Multiply (3 + 4x) * (1 + -7x) (3(1 + -7x) + 4x * (1 + -7x)) = 0 ((1 * 3 + -7x * 3) + 4x * (1 + -7x)) = 0 ((3 + -21x) + 4x * (1 + -7x)) = 0 (3 + -21x + (1 * 4x + -7x * 4x)) = 0 (3 + -21x + (4x + -28x2)) = 0 Combine like terms: -21x + 4x = -17x (3 + -17x + -28x2) = 0 Solving 3 + -17x + -28x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -7x)(3 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {0.1428571429, -0.75}
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