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Simplifying 36x2 = 98 + -7x Solving 36x2 = 98 + -7x Solving for variable 'x'. Reorder the terms: -98 + 7x + 36x2 = 98 + -7x + -98 + 7x Reorder the terms: -98 + 7x + 36x2 = 98 + -98 + -7x + 7x Combine like terms: 98 + -98 = 0 -98 + 7x + 36x2 = 0 + -7x + 7x -98 + 7x + 36x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -98 + 7x + 36x2 = 0 Factor a trinomial. (-7 + -4x)(14 + -9x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(14 + -9x)' equal to zero and attempt to solve: Simplifying 14 + -9x = 0 Solving 14 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -9x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 0 + -14 -9x = 0 + -14 Combine like terms: 0 + -14 = -14 -9x = -14 Divide each side by '-9'. x = 1.555555556 Simplifying x = 1.555555556Solution
x = {-1.75, 1.555555556}
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