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

Simple and best practice solution for (x-1)(x-1)-(x+4)(x+4)=-2x+1 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+4)(x+4)=-2x+1 equation:


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

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

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

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

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

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

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

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

Combine like terms: 4x + 4x = 8x
1 + -2x + x2 + -1(16 + 8x + x2) = -2x + 1
1 + -2x + x2 + (16 * -1 + 8x * -1 + x2 * -1) = -2x + 1
1 + -2x + x2 + (-16 + -8x + -1x2) = -2x + 1

Reorder the terms:
1 + -16 + -2x + -8x + x2 + -1x2 = -2x + 1

Combine like terms: 1 + -16 = -15
-15 + -2x + -8x + x2 + -1x2 = -2x + 1

Combine like terms: -2x + -8x = -10x
-15 + -10x + x2 + -1x2 = -2x + 1

Combine like terms: x2 + -1x2 = 0
-15 + -10x + 0 = -2x + 1
-15 + -10x = -2x + 1

Reorder the terms:
-15 + -10x = 1 + -2x

Solving
-15 + -10x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + -10x + 2x = 1 + -2x + 2x

Combine like terms: -10x + 2x = -8x
-15 + -8x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + -8x = 1 + 0
-15 + -8x = 1

Add '15' to each side of the equation.
-15 + 15 + -8x = 1 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = 1 + 15
-8x = 1 + 15

Combine like terms: 1 + 15 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

See similar equations:

| 7/8-5/6 | | 5x+2(11+4x)=82+x | | -15.00+2.00t=15 | | -15.00t+2.00t=15 | | a=10b | | 7x-2=-7x+4 | | -15.00+2.00t=13 | | .5(2x-2)=10 | | x-(-2x-4)=-5 | | (3x-2)-(5x-4)= | | -12-10=-6+5+-6+-27 | | 1/4(n+5)=16 | | 1=y+3y(y-9) | | -12-10=-6+5+3(x-9) | | 7-4x=4x-57 | | -5x+8=x-4 | | .5(2x+2)=10 | | 4(16.25-0.75y)+3y=65 | | 1/2(2x+2)=10 | | x+3+x+3=(x+4)+(3x-2) | | 4(16.25-0.75y)+3C=65 | | .30x+3.29=6.59 | | 6x-10=3x+5+3(x-9) | | 2x^2=-64 | | 6c-8= | | 3/2x1/3y=4 | | 12=3x/4 | | 2r+36=6r+12 | | (x/4)-1=-(x/2)+8 | | -52-3u=18 | | 5x/2=35 | | 900/x=80 |

Equations solver categories