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Simplifying 4x2 + 48x + 143 = 0 Reorder the terms: 143 + 48x + 4x2 = 0 Solving 143 + 48x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + 2x)(11 + 2x) = 0Subproblem 1
Set the factor '(13 + 2x)' equal to zero and attempt to solve: Simplifying 13 + 2x = 0 Solving 13 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 0 + -13 2x = 0 + -13 Combine like terms: 0 + -13 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5Subproblem 2
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Solution
x = {-6.5, -5.5}
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