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Simplifying 3x2 + 98 = 4x2 + 7x Reorder the terms: 98 + 3x2 = 4x2 + 7x Reorder the terms: 98 + 3x2 = 7x + 4x2 Solving 98 + 3x2 = 7x + 4x2 Solving for variable 'x'. Reorder the terms: 98 + -7x + 3x2 + -4x2 = 7x + 4x2 + -7x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 98 + -7x + -1x2 = 7x + 4x2 + -7x + -4x2 Reorder the terms: 98 + -7x + -1x2 = 7x + -7x + 4x2 + -4x2 Combine like terms: 7x + -7x = 0 98 + -7x + -1x2 = 0 + 4x2 + -4x2 98 + -7x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 98 + -7x + -1x2 = 0 Factor a trinomial. (7 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 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 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {7, -14}
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