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

Simple and best practice solution for (x-1)(x-1)=(x+3)(x-4) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


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

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

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

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = (x + 3)(x + -4)
((-1 * -1 + x * -1) + x(-1 + x)) = (x + 3)(x + -4)
((1 + -1x) + x(-1 + x)) = (x + 3)(x + -4)
(1 + -1x + (-1 * x + x * x)) = (x + 3)(x + -4)
(1 + -1x + (-1x + x2)) = (x + 3)(x + -4)

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = (x + 3)(x + -4)

Reorder the terms:
1 + -2x + x2 = (3 + x)(x + -4)

Reorder the terms:
1 + -2x + x2 = (3 + x)(-4 + x)

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

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

Add '-1x2' to each side of the equation.
1 + -2x + x2 + -1x2 = -12 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + -2x + 0 = -12 + -1x + x2 + -1x2
1 + -2x = -12 + -1x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1 + -2x = -12 + -1x + 0
1 + -2x = -12 + -1x

Solving
1 + -2x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + -2x + x = -12 + -1x + x

Combine like terms: -2x + x = -1x
1 + -1x = -12 + -1x + x

Combine like terms: -1x + x = 0
1 + -1x = -12 + 0
1 + -1x = -12

Add '-1' to each side of the equation.
1 + -1 + -1x = -12 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -12 + -1
-1x = -12 + -1

Combine like terms: -12 + -1 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

See similar equations:

| 6x^2+9=-4x | | 11/3x+1/6-8/3x+9/16 | | 10-3=7 | | 16-11=5 | | 4x-6/3=6 | | 32=0.5(x+42) | | 4=10x-3x^2 | | 4/11x-9+2/11x=18-3/11x | | 1/2((100-y)-y)=40 | | 1/2(100-2x)=40 | | -3x^2+21x-18=0 | | .15x+.05(12-x)=.10(4) | | 11=((8x+7)/3) | | 0.5(x-(180-x))=50 | | 9n+56=7n-2n-4 | | 3x-4y=4+4 | | ((x+7)/14)=1-(3/2)x | | ((6n-5p)/11t)=c | | -7-9y=63 | | -7(7)+9y=-63 | | 184=.56x | | 74=.56x | | 1/5-1/12 | | y=-3/5(1)-6 | | 54=3y+9 | | 18-7y=108 | | y=3/5-6 | | 4x^2+3=-12x | | 2x-5(-10)=-10 | | 4n-7=33 | | x+5y=47 | | y=-8/9*1+8 |

Equations solver categories