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Simplifying 0 = (3x + -10)(x + 7) Reorder the terms: 0 = (-10 + 3x)(x + 7) Reorder the terms: 0 = (-10 + 3x)(7 + x) Multiply (-10 + 3x) * (7 + x) 0 = (-10(7 + x) + 3x * (7 + x)) 0 = ((7 * -10 + x * -10) + 3x * (7 + x)) 0 = ((-70 + -10x) + 3x * (7 + x)) 0 = (-70 + -10x + (7 * 3x + x * 3x)) 0 = (-70 + -10x + (21x + 3x2)) Combine like terms: -10x + 21x = 11x 0 = (-70 + 11x + 3x2) Solving 0 = -70 + 11x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 70 = 70 70 + -11x + -3x2 = -70 + 11x + 3x2 + 70 + -11x + -3x2 Reorder the terms: 70 + -11x + -3x2 = -70 + 70 + 11x + -11x + 3x2 + -3x2 Combine like terms: -70 + 70 = 0 70 + -11x + -3x2 = 0 + 11x + -11x + 3x2 + -3x2 70 + -11x + -3x2 = 11x + -11x + 3x2 + -3x2 Combine like terms: 11x + -11x = 0 70 + -11x + -3x2 = 0 + 3x2 + -3x2 70 + -11x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 70 + -11x + -3x2 = 0 Factor a trinomial. (10 + -3x)(7 + x) = 0Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Subproblem 2
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 = -7Solution
x = {3.333333333, -7}
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