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Simplifying (-7x + 4)(6x + -1) = 0 Reorder the terms: (4 + -7x)(6x + -1) = 0 Reorder the terms: (4 + -7x)(-1 + 6x) = 0 Multiply (4 + -7x) * (-1 + 6x) (4(-1 + 6x) + -7x * (-1 + 6x)) = 0 ((-1 * 4 + 6x * 4) + -7x * (-1 + 6x)) = 0 ((-4 + 24x) + -7x * (-1 + 6x)) = 0 (-4 + 24x + (-1 * -7x + 6x * -7x)) = 0 (-4 + 24x + (7x + -42x2)) = 0 Combine like terms: 24x + 7x = 31x (-4 + 31x + -42x2) = 0 Solving -4 + 31x + -42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + 7x)(1 + -6x) = 0Subproblem 1
Set the factor '(-4 + 7x)' equal to zero and attempt to solve: Simplifying -4 + 7x = 0 Solving -4 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 0 + 4 7x = 0 + 4 Combine like terms: 0 + 4 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714Subproblem 2
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 = 0.1666666667Solution
x = {0.5714285714, 0.1666666667}
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