x+9=4(x-1)2

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Solution for x+9=4(x-1)2 equation:


Simplifying
x + 9 = 4(x + -1) * 2

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

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

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

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

Solving
9 + 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.
9 + x + -8x = -8 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
9 + -7x = -8 + 0
9 + -7x = -8

Add '-9' to each side of the equation.
9 + -9 + -7x = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -7x = -8 + -9
-7x = -8 + -9

Combine like terms: -8 + -9 = -17
-7x = -17

Divide each side by '-7'.
x = 2.428571429

Simplifying
x = 2.428571429

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