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Simplifying (x + -3)(x + 3) = 7x + -21 Reorder the terms: (-3 + x)(x + 3) = 7x + -21 Reorder the terms: (-3 + x)(3 + x) = 7x + -21 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = 7x + -21 ((3 * -3 + x * -3) + x(3 + x)) = 7x + -21 ((-9 + -3x) + x(3 + x)) = 7x + -21 (-9 + -3x + (3 * x + x * x)) = 7x + -21 (-9 + -3x + (3x + x2)) = 7x + -21 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = 7x + -21 (-9 + x2) = 7x + -21 Reorder the terms: -9 + x2 = -21 + 7x Solving -9 + x2 = -21 + 7x Solving for variable 'x'. Reorder the terms: -9 + 21 + -7x + x2 = -21 + 7x + 21 + -7x Combine like terms: -9 + 21 = 12 12 + -7x + x2 = -21 + 7x + 21 + -7x Reorder the terms: 12 + -7x + x2 = -21 + 21 + 7x + -7x Combine like terms: -21 + 21 = 0 12 + -7x + x2 = 0 + 7x + -7x 12 + -7x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 12 + -7x + x2 = 0 Factor a trinomial. (3 + -1x)(4 + -1x) = 0Subproblem 1
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 = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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