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Simplifying (-5x + 1)(x + -7) = 0 Reorder the terms: (1 + -5x)(x + -7) = 0 Reorder the terms: (1 + -5x)(-7 + x) = 0 Multiply (1 + -5x) * (-7 + x) (1(-7 + x) + -5x * (-7 + x)) = 0 ((-7 * 1 + x * 1) + -5x * (-7 + x)) = 0 ((-7 + 1x) + -5x * (-7 + x)) = 0 (-7 + 1x + (-7 * -5x + x * -5x)) = 0 (-7 + 1x + (35x + -5x2)) = 0 Combine like terms: 1x + 35x = 36x (-7 + 36x + -5x2) = 0 Solving -7 + 36x + -5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {7, 0.2}
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