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Simplifying x + 3 = (x + -3)(x + -3) Reorder the terms: 3 + x = (x + -3)(x + -3) Reorder the terms: 3 + x = (-3 + x)(x + -3) Reorder the terms: 3 + x = (-3 + x)(-3 + x) Multiply (-3 + x) * (-3 + x) 3 + x = (-3(-3 + x) + x(-3 + x)) 3 + x = ((-3 * -3 + x * -3) + x(-3 + x)) 3 + x = ((9 + -3x) + x(-3 + x)) 3 + x = (9 + -3x + (-3 * x + x * x)) 3 + x = (9 + -3x + (-3x + x2)) Combine like terms: -3x + -3x = -6x 3 + x = (9 + -6x + x2) Solving 3 + x = 9 + -6x + x2 Solving for variable 'x'. Reorder the terms: 3 + -9 + x + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2 Combine like terms: 3 + -9 = -6 -6 + x + 6x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2 Combine like terms: x + 6x = 7x -6 + 7x + -1x2 = 9 + -6x + x2 + -9 + 6x + -1x2 Reorder the terms: -6 + 7x + -1x2 = 9 + -9 + -6x + 6x + x2 + -1x2 Combine like terms: 9 + -9 = 0 -6 + 7x + -1x2 = 0 + -6x + 6x + x2 + -1x2 -6 + 7x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 -6 + 7x + -1x2 = 0 + x2 + -1x2 -6 + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 7x + -1x2 = 0 Factor a trinomial. (-6 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {6, 1}
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