(2x+8)(-2x+1)=

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Solution for (2x+8)(-2x+1)= equation:


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

Reorder the terms:
(8 + 2x)(-2x + 1) = 0

Reorder the terms:
(8 + 2x)(1 + -2x) = 0

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

Combine like terms: -16x + 2x = -14x
(8 + -14x + -4x2) = 0

Solving
8 + -14x + -4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -7x + -2x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {0.5, -4}

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