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Simplifying (7x + -9)(x + -3) = 19 Reorder the terms: (-9 + 7x)(x + -3) = 19 Reorder the terms: (-9 + 7x)(-3 + x) = 19 Multiply (-9 + 7x) * (-3 + x) (-9(-3 + x) + 7x * (-3 + x)) = 19 ((-3 * -9 + x * -9) + 7x * (-3 + x)) = 19 ((27 + -9x) + 7x * (-3 + x)) = 19 (27 + -9x + (-3 * 7x + x * 7x)) = 19 (27 + -9x + (-21x + 7x2)) = 19 Combine like terms: -9x + -21x = -30x (27 + -30x + 7x2) = 19 Solving 27 + -30x + 7x2 = 19 Solving for variable 'x'. Reorder the terms: 27 + -19 + -30x + 7x2 = 19 + -19 Combine like terms: 27 + -19 = 8 8 + -30x + 7x2 = 19 + -19 Combine like terms: 19 + -19 = 0 8 + -30x + 7x2 = 0 Factor a trinomial. (2 + -7x)(4 + -1x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 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 = {0.2857142857, 4}
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