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Simplifying 143 = x2 + 4x + 3 Reorder the terms: 143 = 3 + 4x + x2 Solving 143 = 3 + 4x + x2 Solving for variable 'x'. Combine like terms: 143 + -3 = 140 140 + -4x + -1x2 = 3 + 4x + x2 + -3 + -4x + -1x2 Reorder the terms: 140 + -4x + -1x2 = 3 + -3 + 4x + -4x + x2 + -1x2 Combine like terms: 3 + -3 = 0 140 + -4x + -1x2 = 0 + 4x + -4x + x2 + -1x2 140 + -4x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 140 + -4x + -1x2 = 0 + x2 + -1x2 140 + -4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 140 + -4x + -1x2 = 0 Factor a trinomial. (10 + -1x)(14 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 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 = {10, -14}
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