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Simplifying (x + -7)(x + -3x + 5) = 0 Reorder the terms: (-7 + x)(x + -3x + 5) = 0 Reorder the terms: (-7 + x)(5 + x + -3x) = 0 Combine like terms: x + -3x = -2x (-7 + x)(5 + -2x) = 0 Multiply (-7 + x) * (5 + -2x) (-7(5 + -2x) + x(5 + -2x)) = 0 ((5 * -7 + -2x * -7) + x(5 + -2x)) = 0 ((-35 + 14x) + x(5 + -2x)) = 0 (-35 + 14x + (5 * x + -2x * x)) = 0 (-35 + 14x + (5x + -2x2)) = 0 Combine like terms: 14x + 5x = 19x (-35 + 19x + -2x2) = 0 Solving -35 + 19x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + x)(5 + -2x) = 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 '(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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