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Simplifying (4x + -10)(-1x + 7) = 0 Reorder the terms: (-10 + 4x)(-1x + 7) = 0 Reorder the terms: (-10 + 4x)(7 + -1x) = 0 Multiply (-10 + 4x) * (7 + -1x) (-10(7 + -1x) + 4x * (7 + -1x)) = 0 ((7 * -10 + -1x * -10) + 4x * (7 + -1x)) = 0 ((-70 + 10x) + 4x * (7 + -1x)) = 0 (-70 + 10x + (7 * 4x + -1x * 4x)) = 0 (-70 + 10x + (28x + -4x2)) = 0 Combine like terms: 10x + 28x = 38x (-70 + 38x + -4x2) = 0 Solving -70 + 38x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-35 + 19x + -2x2) = 0 Factor a trinomial. 2((-7 + x)(5 + -2x)) = 0 Ignore the factor 2.Subproblem 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {7, 2.5}
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