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Simplifying 4 + -1(x + -5)(x + -5) = 0 Reorder the terms: 4 + -1(-5 + x)(x + -5) = 0 Reorder the terms: 4 + -1(-5 + x)(-5 + x) = 0 Multiply (-5 + x) * (-5 + x) 4 + -1(-5(-5 + x) + x(-5 + x)) = 0 4 + -1((-5 * -5 + x * -5) + x(-5 + x)) = 0 4 + -1((25 + -5x) + x(-5 + x)) = 0 4 + -1(25 + -5x + (-5 * x + x * x)) = 0 4 + -1(25 + -5x + (-5x + x2)) = 0 Combine like terms: -5x + -5x = -10x 4 + -1(25 + -10x + x2) = 0 4 + (25 * -1 + -10x * -1 + x2 * -1) = 0 4 + (-25 + 10x + -1x2) = 0 Combine like terms: 4 + -25 = -21 -21 + 10x + -1x2 = 0 Solving -21 + 10x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {7, 3}
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