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Simplifying (7x + -3)(3x + 7) = 0 Reorder the terms: (-3 + 7x)(3x + 7) = 0 Reorder the terms: (-3 + 7x)(7 + 3x) = 0 Multiply (-3 + 7x) * (7 + 3x) (-3(7 + 3x) + 7x * (7 + 3x)) = 0 ((7 * -3 + 3x * -3) + 7x * (7 + 3x)) = 0 ((-21 + -9x) + 7x * (7 + 3x)) = 0 (-21 + -9x + (7 * 7x + 3x * 7x)) = 0 (-21 + -9x + (49x + 21x2)) = 0 Combine like terms: -9x + 49x = 40x (-21 + 40x + 21x2) = 0 Solving -21 + 40x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(3 + -7x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-2.333333333, 0.4285714286}
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