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Simplifying 4(8 + 9) + 9x = 7x(2x + 9) Combine like terms: 8 + 9 = 17 4(17) + 9x = 7x(2x + 9) Multiply 4 * 17 68 + 9x = 7x(2x + 9) Reorder the terms: 68 + 9x = 7x(9 + 2x) 68 + 9x = (9 * 7x + 2x * 7x) 68 + 9x = (63x + 14x2) Solving 68 + 9x = 63x + 14x2 Solving for variable 'x'. Combine like terms: 9x + -63x = -54x 68 + -54x + -14x2 = 63x + 14x2 + -63x + -14x2 Reorder the terms: 68 + -54x + -14x2 = 63x + -63x + 14x2 + -14x2 Combine like terms: 63x + -63x = 0 68 + -54x + -14x2 = 0 + 14x2 + -14x2 68 + -54x + -14x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 68 + -54x + -14x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(34 + -27x + -7x2) = 0 Factor a trinomial. 2((1 + -1x)(34 + 7x)) = 0 Ignore the factor 2.Subproblem 1
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 = 1Subproblem 2
Set the factor '(34 + 7x)' equal to zero and attempt to solve: Simplifying 34 + 7x = 0 Solving 34 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 7x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 0 + -34 7x = 0 + -34 Combine like terms: 0 + -34 = -34 7x = -34 Divide each side by '7'. x = -4.857142857 Simplifying x = -4.857142857Solution
x = {1, -4.857142857}
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