(2-x)(8-4x)=

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Solution for (2-x)(8-4x)= equation:


Simplifying
(2 + -1x)(8 + -4x) = 0

Multiply (2 + -1x) * (8 + -4x)
(2(8 + -4x) + -1x * (8 + -4x)) = 0
((8 * 2 + -4x * 2) + -1x * (8 + -4x)) = 0
((16 + -8x) + -1x * (8 + -4x)) = 0
(16 + -8x + (8 * -1x + -4x * -1x)) = 0
(16 + -8x + (-8x + 4x2)) = 0

Combine like terms: -8x + -8x = -16x
(16 + -16x + 4x2) = 0

Solving
16 + -16x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -4x + x2) = 0

Factor a trinomial.
4((2 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {2, 2}

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