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Simplifying (26 + -2x)(21 + -2x) = 0 Multiply (26 + -2x) * (21 + -2x) (26(21 + -2x) + -2x * (21 + -2x)) = 0 ((21 * 26 + -2x * 26) + -2x * (21 + -2x)) = 0 ((546 + -52x) + -2x * (21 + -2x)) = 0 (546 + -52x + (21 * -2x + -2x * -2x)) = 0 (546 + -52x + (-42x + 4x2)) = 0 Combine like terms: -52x + -42x = -94x (546 + -94x + 4x2) = 0 Solving 546 + -94x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(273 + -47x + 2x2) = 0 Factor a trinomial. 2((21 + -2x)(13 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(21 + -2x)' equal to zero and attempt to solve: Simplifying 21 + -2x = 0 Solving 21 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 0 + -21 -2x = 0 + -21 Combine like terms: 0 + -21 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Solution
x = {10.5, 13}
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