(16-2x)(17-2x)=

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Solution for (16-2x)(17-2x)= equation:


Simplifying
(16 + -2x)(17 + -2x) = 0

Multiply (16 + -2x) * (17 + -2x)
(16(17 + -2x) + -2x * (17 + -2x)) = 0
((17 * 16 + -2x * 16) + -2x * (17 + -2x)) = 0
((272 + -32x) + -2x * (17 + -2x)) = 0
(272 + -32x + (17 * -2x + -2x * -2x)) = 0
(272 + -32x + (-34x + 4x2)) = 0

Combine like terms: -32x + -34x = -66x
(272 + -66x + 4x2) = 0

Solving
272 + -66x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(136 + -33x + 2x2) = 0

Factor a trinomial.
2((8 + -1x)(17 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(17 + -2x)' equal to zero and attempt to solve: Simplifying 17 + -2x = 0 Solving 17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2x = 0 + -17 -2x = 0 + -17 Combine like terms: 0 + -17 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5

Solution

x = {8, 8.5}

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