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Simplifying -32x2 + 169x + 5 = 50 Reorder the terms: 5 + 169x + -32x2 = 50 Solving 5 + 169x + -32x2 = 50 Solving for variable 'x'. Reorder the terms: 5 + -50 + 169x + -32x2 = 50 + -50 Combine like terms: 5 + -50 = -45 -45 + 169x + -32x2 = 50 + -50 Combine like terms: 50 + -50 = 0 -45 + 169x + -32x2 = 0 Factor a trinomial. (-5 + x)(9 + -32x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(9 + -32x)' equal to zero and attempt to solve: Simplifying 9 + -32x = 0 Solving 9 + -32x = 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 + -32x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -32x = 0 + -9 -32x = 0 + -9 Combine like terms: 0 + -9 = -9 -32x = -9 Divide each side by '-32'. x = 0.28125 Simplifying x = 0.28125Solution
x = {5, 0.28125}
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