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Simplifying (4x + -7)(6x + 1) = 0 Reorder the terms: (-7 + 4x)(6x + 1) = 0 Reorder the terms: (-7 + 4x)(1 + 6x) = 0 Multiply (-7 + 4x) * (1 + 6x) (-7(1 + 6x) + 4x * (1 + 6x)) = 0 ((1 * -7 + 6x * -7) + 4x * (1 + 6x)) = 0 ((-7 + -42x) + 4x * (1 + 6x)) = 0 (-7 + -42x + (1 * 4x + 6x * 4x)) = 0 (-7 + -42x + (4x + 24x2)) = 0 Combine like terms: -42x + 4x = -38x (-7 + -38x + 24x2) = 0 Solving -7 + -38x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -6x)(7 + -4x) = 0Subproblem 1
Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 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 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-0.1666666667, 1.75}
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