(4x-3)(x+4)=(x-2)(1-6x)

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Solution for (4x-3)(x+4)=(x-2)(1-6x) equation: 


Simplifying
(4x + -3)(x + 4) = (x + -2)(1 + -6x)

Reorder the terms:
(-3 + 4x)(x + 4) = (x + -2)(1 + -6x)

Reorder the terms:
(-3 + 4x)(4 + x) = (x + -2)(1 + -6x)

Multiply (-3 + 4x) * (4 + x)
(-3(4 + x) + 4x * (4 + x)) = (x + -2)(1 + -6x)
((4 * -3 + x * -3) + 4x * (4 + x)) = (x + -2)(1 + -6x)
((-12 + -3x) + 4x * (4 + x)) = (x + -2)(1 + -6x)
(-12 + -3x + (4 * 4x + x * 4x)) = (x + -2)(1 + -6x)
(-12 + -3x + (16x + 4x2)) = (x + -2)(1 + -6x)

Combine like terms: -3x + 16x = 13x
(-12 + 13x + 4x2) = (x + -2)(1 + -6x)

Reorder the terms:
-12 + 13x + 4x2 = (-2 + x)(1 + -6x)

Multiply (-2 + x) * (1 + -6x)
-12 + 13x + 4x2 = (-2(1 + -6x) + x(1 + -6x))
-12 + 13x + 4x2 = ((1 * -2 + -6x * -2) + x(1 + -6x))
-12 + 13x + 4x2 = ((-2 + 12x) + x(1 + -6x))
-12 + 13x + 4x2 = (-2 + 12x + (1 * x + -6x * x))
-12 + 13x + 4x2 = (-2 + 12x + (1x + -6x2))

Combine like terms: 12x + 1x = 13x
-12 + 13x + 4x2 = (-2 + 13x + -6x2)

Add '-13x' to each side of the equation.
-12 + 13x + -13x + 4x2 = -2 + 13x + -13x + -6x2

Combine like terms: 13x + -13x = 0
-12 + 0 + 4x2 = -2 + 13x + -13x + -6x2
-12 + 4x2 = -2 + 13x + -13x + -6x2

Combine like terms: 13x + -13x = 0
-12 + 4x2 = -2 + 0 + -6x2
-12 + 4x2 = -2 + -6x2

Solving
-12 + 4x2 = -2 + -6x2

Solving for variable 'x'.

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

Add '6x2' to each side of the equation.
-12 + 4x2 + 6x2 = -2 + -6x2 + 6x2

Combine like terms: 4x2 + 6x2 = 10x2
-12 + 10x2 = -2 + -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-12 + 10x2 = -2 + 0
-12 + 10x2 = -2

Add '12' to each side of the equation.
-12 + 12 + 10x2 = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 10x2 = -2 + 12
10x2 = -2 + 12

Combine like terms: -2 + 12 = 10
10x2 = 10

Divide each side by '10'.
x2 = 1

Simplifying
x2 = 1

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

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