x-1=4(x+1)2

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Solution for x-1=4(x+1)2 equation:


Simplifying
x + -1 = 4(x + 1) * 2

Reorder the terms:
-1 + x = 4(x + 1) * 2

Reorder the terms:
-1 + x = 4(1 + x) * 2

Reorder the terms for easier multiplication:
-1 + x = 4 * 2(1 + x)

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

Solving
-1 + x = 8 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.
-1 + x + -8x = 8 + 8x + -8x

Combine like terms: x + -8x = -7x
-1 + -7x = 8 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -7x = 8 + 0
-1 + -7x = 8

Add '1' to each side of the equation.
-1 + 1 + -7x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = 8 + 1
-7x = 8 + 1

Combine like terms: 8 + 1 = 9
-7x = 9

Divide each side by '-7'.
x = -1.285714286

Simplifying
x = -1.285714286

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