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Simplifying (7x + -1)(10x + 7) = 0 Reorder the terms: (-1 + 7x)(10x + 7) = 0 Reorder the terms: (-1 + 7x)(7 + 10x) = 0 Multiply (-1 + 7x) * (7 + 10x) (-1(7 + 10x) + 7x * (7 + 10x)) = 0 ((7 * -1 + 10x * -1) + 7x * (7 + 10x)) = 0 ((-7 + -10x) + 7x * (7 + 10x)) = 0 (-7 + -10x + (7 * 7x + 10x * 7x)) = 0 (-7 + -10x + (49x + 70x2)) = 0 Combine like terms: -10x + 49x = 39x (-7 + 39x + 70x2) = 0 Solving -7 + 39x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -10x)(1 + -7x) = 0Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve: Simplifying -7 + -10x = 0 Solving -7 + -10x = 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 + -10x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10x = 0 + 7 -10x = 0 + 7 Combine like terms: 0 + 7 = 7 -10x = 7 Divide each side by '-10'. x = -0.7 Simplifying x = -0.7Subproblem 2
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 = 0.1428571429Solution
x = {-0.7, 0.1428571429}
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