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Simplifying 14(12x + 98) = x2 + 147 Reorder the terms: 14(98 + 12x) = x2 + 147 (98 * 14 + 12x * 14) = x2 + 147 (1372 + 168x) = x2 + 147 Reorder the terms: 1372 + 168x = 147 + x2 Solving 1372 + 168x = 147 + x2 Solving for variable 'x'. Reorder the terms: 1372 + -147 + 168x + -1x2 = 147 + x2 + -147 + -1x2 Combine like terms: 1372 + -147 = 1225 1225 + 168x + -1x2 = 147 + x2 + -147 + -1x2 Reorder the terms: 1225 + 168x + -1x2 = 147 + -147 + x2 + -1x2 Combine like terms: 147 + -147 = 0 1225 + 168x + -1x2 = 0 + x2 + -1x2 1225 + 168x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1225 + 168x + -1x2 = 0 Factor a trinomial. (175 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(175 + -1x)' equal to zero and attempt to solve: Simplifying 175 + -1x = 0 Solving 175 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-175' to each side of the equation. 175 + -175 + -1x = 0 + -175 Combine like terms: 175 + -175 = 0 0 + -1x = 0 + -175 -1x = 0 + -175 Combine like terms: 0 + -175 = -175 -1x = -175 Divide each side by '-1'. x = 175 Simplifying x = 175Subproblem 2
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 = -7Solution
x = {175, -7}
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