(8x+6)(8x+4)=

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Solution for (8x+6)(8x+4)= equation:


Simplifying
(8x + 6)(8x + 4) = 0

Reorder the terms:
(6 + 8x)(8x + 4) = 0

Reorder the terms:
(6 + 8x)(4 + 8x) = 0

Multiply (6 + 8x) * (4 + 8x)
(6(4 + 8x) + 8x * (4 + 8x)) = 0
((4 * 6 + 8x * 6) + 8x * (4 + 8x)) = 0
((24 + 48x) + 8x * (4 + 8x)) = 0
(24 + 48x + (4 * 8x + 8x * 8x)) = 0
(24 + 48x + (32x + 64x2)) = 0

Combine like terms: 48x + 32x = 80x
(24 + 80x + 64x2) = 0

Solving
24 + 80x + 64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(3 + 10x + 8x2) = 0

Factor a trinomial.
8((3 + 4x)(1 + 2x)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

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

Solution

x = {-0.75, -0.5}

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