(4x-1)(x+2)=2+7x

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Solution for (4x-1)(x+2)=2+7x equation: 


Simplifying
(4x + -1)(x + 2) = 2 + 7x

Reorder the terms:
(-1 + 4x)(x + 2) = 2 + 7x

Reorder the terms:
(-1 + 4x)(2 + x) = 2 + 7x

Multiply (-1 + 4x) * (2 + x)
(-1(2 + x) + 4x * (2 + x)) = 2 + 7x
((2 * -1 + x * -1) + 4x * (2 + x)) = 2 + 7x
((-2 + -1x) + 4x * (2 + x)) = 2 + 7x
(-2 + -1x + (2 * 4x + x * 4x)) = 2 + 7x
(-2 + -1x + (8x + 4x2)) = 2 + 7x

Combine like terms: -1x + 8x = 7x
(-2 + 7x + 4x2) = 2 + 7x

Add '-7x' to each side of the equation.
-2 + 7x + -7x + 4x2 = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 0 + 4x2 = 2 + 7x + -7x
-2 + 4x2 = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 4x2 = 2 + 0
-2 + 4x2 = 2

Solving
-2 + 4x2 = 2

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x2 = 2 + 2

Combine like terms: -2 + 2 = 0
0 + 4x2 = 2 + 2
4x2 = 2 + 2

Combine like terms: 2 + 2 = 4
4x2 = 4

Divide each side by '4'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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