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Simplifying (x + 3)(x + 3) = 2x2 + -4x + 30 Reorder the terms: (3 + x)(x + 3) = 2x2 + -4x + 30 Reorder the terms: (3 + x)(3 + x) = 2x2 + -4x + 30 Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = 2x2 + -4x + 30 ((3 * 3 + x * 3) + x(3 + x)) = 2x2 + -4x + 30 ((9 + 3x) + x(3 + x)) = 2x2 + -4x + 30 (9 + 3x + (3 * x + x * x)) = 2x2 + -4x + 30 (9 + 3x + (3x + x2)) = 2x2 + -4x + 30 Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = 2x2 + -4x + 30 Reorder the terms: 9 + 6x + x2 = 30 + -4x + 2x2 Solving 9 + 6x + x2 = 30 + -4x + 2x2 Solving for variable 'x'. Reorder the terms: 9 + -30 + 6x + 4x + x2 + -2x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Combine like terms: 9 + -30 = -21 -21 + 6x + 4x + x2 + -2x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Combine like terms: 6x + 4x = 10x -21 + 10x + x2 + -2x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Combine like terms: x2 + -2x2 = -1x2 -21 + 10x + -1x2 = 30 + -4x + 2x2 + -30 + 4x + -2x2 Reorder the terms: -21 + 10x + -1x2 = 30 + -30 + -4x + 4x + 2x2 + -2x2 Combine like terms: 30 + -30 = 0 -21 + 10x + -1x2 = 0 + -4x + 4x + 2x2 + -2x2 -21 + 10x + -1x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 -21 + 10x + -1x2 = 0 + 2x2 + -2x2 -21 + 10x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -21 + 10x + -1x2 = 0 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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