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Simplifying (7x + -7)(9x + 3) = 0 Reorder the terms: (-7 + 7x)(9x + 3) = 0 Reorder the terms: (-7 + 7x)(3 + 9x) = 0 Multiply (-7 + 7x) * (3 + 9x) (-7(3 + 9x) + 7x * (3 + 9x)) = 0 ((3 * -7 + 9x * -7) + 7x * (3 + 9x)) = 0 ((-21 + -63x) + 7x * (3 + 9x)) = 0 (-21 + -63x + (3 * 7x + 9x * 7x)) = 0 (-21 + -63x + (21x + 63x2)) = 0 Combine like terms: -63x + 21x = -42x (-21 + -42x + 63x2) = 0 Solving -21 + -42x + 63x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '21'. 21(-1 + -2x + 3x2) = 0 Factor a trinomial. 21((-1 + -3x)(1 + -1x)) = 0 Ignore the factor 21.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 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 = {-0.3333333333, 1}
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