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Simplifying (7x + -4)(x + 25) = 0 Reorder the terms: (-4 + 7x)(x + 25) = 0 Reorder the terms: (-4 + 7x)(25 + x) = 0 Multiply (-4 + 7x) * (25 + x) (-4(25 + x) + 7x * (25 + x)) = 0 ((25 * -4 + x * -4) + 7x * (25 + x)) = 0 ((-100 + -4x) + 7x * (25 + x)) = 0 (-100 + -4x + (25 * 7x + x * 7x)) = 0 (-100 + -4x + (175x + 7x2)) = 0 Combine like terms: -4x + 175x = 171x (-100 + 171x + 7x2) = 0 Solving -100 + 171x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-25 + -1x)(4 + -7x) = 0Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve: Simplifying -25 + -1x = 0 Solving -25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 0 + 25 -1x = 0 + 25 Combine like terms: 0 + 25 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25Subproblem 2
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 = 0.5714285714Solution
x = {-25, 0.5714285714}
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