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Simplifying 0 = (7x + 9)(x + -3) Reorder the terms: 0 = (9 + 7x)(x + -3) Reorder the terms: 0 = (9 + 7x)(-3 + x) Multiply (9 + 7x) * (-3 + x) 0 = (9(-3 + x) + 7x * (-3 + x)) 0 = ((-3 * 9 + x * 9) + 7x * (-3 + x)) 0 = ((-27 + 9x) + 7x * (-3 + x)) 0 = (-27 + 9x + (-3 * 7x + x * 7x)) 0 = (-27 + 9x + (-21x + 7x2)) Combine like terms: 9x + -21x = -12x 0 = (-27 + -12x + 7x2) Solving 0 = -27 + -12x + 7x2 Solving for variable 'x'. Combine like terms: 0 + 27 = 27 27 + 12x + -7x2 = -27 + -12x + 7x2 + 27 + 12x + -7x2 Reorder the terms: 27 + 12x + -7x2 = -27 + 27 + -12x + 12x + 7x2 + -7x2 Combine like terms: -27 + 27 = 0 27 + 12x + -7x2 = 0 + -12x + 12x + 7x2 + -7x2 27 + 12x + -7x2 = -12x + 12x + 7x2 + -7x2 Combine like terms: -12x + 12x = 0 27 + 12x + -7x2 = 0 + 7x2 + -7x2 27 + 12x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 27 + 12x + -7x2 = 0 Factor a trinomial. (3 + -1x)(9 + 7x) = 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 '(9 + 7x)' equal to zero and attempt to solve: Simplifying 9 + 7x = 0 Solving 9 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 0 + -9 7x = 0 + -9 Combine like terms: 0 + -9 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286Solution
x = {3, -1.285714286}
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