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Simplifying 20(20) = x(x + 30) Multiply 20 * 20 400 = x(x + 30) Reorder the terms: 400 = x(30 + x) 400 = (30 * x + x * x) 400 = (30x + x2) Solving 400 = 30x + x2 Solving for variable 'x'. Reorder the terms: 400 + -30x + -1x2 = 30x + -30x + x2 + -1x2 Combine like terms: 30x + -30x = 0 400 + -30x + -1x2 = 0 + x2 + -1x2 400 + -30x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 400 + -30x + -1x2 = 0 Factor a trinomial. (10 + -1x)(40 + 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 '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {10, -40}
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