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Simplifying 5x2 + 9x = 126 Reorder the terms: 9x + 5x2 = 126 Solving 9x + 5x2 = 126 Solving for variable 'x'. Reorder the terms: -126 + 9x + 5x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 9x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(21 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(21 + -5x)' equal to zero and attempt to solve: Simplifying 21 + -5x = 0 Solving 21 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 0 + -21 -5x = 0 + -21 Combine like terms: 0 + -21 = -21 -5x = -21 Divide each side by '-5'. x = 4.2 Simplifying x = 4.2Solution
x = {-6, 4.2}
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