(8x+1)(8x+1)=36

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Solution for (8x+1)(8x+1)=36 equation:


Simplifying
(8x + 1)(8x + 1) = 36

Reorder the terms:
(1 + 8x)(8x + 1) = 36

Reorder the terms:
(1 + 8x)(1 + 8x) = 36

Multiply (1 + 8x) * (1 + 8x)
(1(1 + 8x) + 8x * (1 + 8x)) = 36
((1 * 1 + 8x * 1) + 8x * (1 + 8x)) = 36
((1 + 8x) + 8x * (1 + 8x)) = 36
(1 + 8x + (1 * 8x + 8x * 8x)) = 36
(1 + 8x + (8x + 64x2)) = 36

Combine like terms: 8x + 8x = 16x
(1 + 16x + 64x2) = 36

Solving
1 + 16x + 64x2 = 36

Solving for variable 'x'.

Reorder the terms:
1 + -36 + 16x + 64x2 = 36 + -36

Combine like terms: 1 + -36 = -35
-35 + 16x + 64x2 = 36 + -36

Combine like terms: 36 + -36 = 0
-35 + 16x + 64x2 = 0

Factor a trinomial.
(-7 + -8x)(5 + -8x) = 0

Subproblem 1

Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875

Subproblem 2

Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625

Solution

x = {-0.875, 0.625}

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