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Simplifying 0 = 9x2 + -73x + 70 Reorder the terms: 0 = 70 + -73x + 9x2 Solving 0 = 70 + -73x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -70 = -70 -70 + 73x + -9x2 = 70 + -73x + 9x2 + -70 + 73x + -9x2 Reorder the terms: -70 + 73x + -9x2 = 70 + -70 + -73x + 73x + 9x2 + -9x2 Combine like terms: 70 + -70 = 0 -70 + 73x + -9x2 = 0 + -73x + 73x + 9x2 + -9x2 -70 + 73x + -9x2 = -73x + 73x + 9x2 + -9x2 Combine like terms: -73x + 73x = 0 -70 + 73x + -9x2 = 0 + 9x2 + -9x2 -70 + 73x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -70 + 73x + -9x2 = 0 Factor a trinomial. (-7 + x)(10 + -9x) = 0Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {7, 1.111111111}
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