(x+10)(x-5)=(x+1)(x+1)

Simple and best practice solution for (x+10)(x-5)=(x+1)(x+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+10)(x-5)=(x+1)(x+1) equation: 


Simplifying
(x + 10)(x + -5) = (x + 1)(x + 1)

Reorder the terms:
(10 + x)(x + -5) = (x + 1)(x + 1)

Reorder the terms:
(10 + x)(-5 + x) = (x + 1)(x + 1)

Multiply (10 + x) * (-5 + x)
(10(-5 + x) + x(-5 + x)) = (x + 1)(x + 1)
((-5 * 10 + x * 10) + x(-5 + x)) = (x + 1)(x + 1)
((-50 + 10x) + x(-5 + x)) = (x + 1)(x + 1)
(-50 + 10x + (-5 * x + x * x)) = (x + 1)(x + 1)
(-50 + 10x + (-5x + x2)) = (x + 1)(x + 1)

Combine like terms: 10x + -5x = 5x
(-50 + 5x + x2) = (x + 1)(x + 1)

Reorder the terms:
-50 + 5x + x2 = (1 + x)(x + 1)

Reorder the terms:
-50 + 5x + x2 = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
-50 + 5x + x2 = (1(1 + x) + x(1 + x))
-50 + 5x + x2 = ((1 * 1 + x * 1) + x(1 + x))
-50 + 5x + x2 = ((1 + 1x) + x(1 + x))
-50 + 5x + x2 = (1 + 1x + (1 * x + x * x))
-50 + 5x + x2 = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
-50 + 5x + x2 = (1 + 2x + x2)

Add '-1x2' to each side of the equation.
-50 + 5x + x2 + -1x2 = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 5x + 0 = 1 + 2x + x2 + -1x2
-50 + 5x = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-50 + 5x = 1 + 2x + 0
-50 + 5x = 1 + 2x

Solving
-50 + 5x = 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.
-50 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-50 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-50 + 3x = 1 + 0
-50 + 3x = 1

Add '50' to each side of the equation.
-50 + 50 + 3x = 1 + 50

Combine like terms: -50 + 50 = 0
0 + 3x = 1 + 50
3x = 1 + 50

Combine like terms: 1 + 50 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

See similar equations:

| x=2sqrtx | | x=sqrtx | | 3(x)-25=32 | | 21/2-4/5 | | 3(3+2x)-3=36 | | 2/1x^2+6/8(x)+2=0 | | 1/2=c/5 | | x^2+3/5(x)+2/25=0 | | 92=2((2w+1)(w)) | | a+2/9=-10 | | 24x^2-6+4=0 | | 24x^2-6+12x=0 | | 4(7x-9)+6=82 | | 2.5x+0.5y=3 | | 5w-46forw=3 | | 3x^2+9x-264=0 | | -4/9(4.19)+4 | | -6n+5-5n=-61 | | -7265+185x=0 | | x^2-3x-7=3 | | -4k^2-15k+8=-5k^2-6k | | 2v+7=124 | | 4k^2-15k+8=-5k^2-6k | | 0=-10X^2+100X+12000 | | 8=y(y-4) | | 5x^2+x+18=4x^2+4-8x | | n^2-4n-7=-2 | | (x-p)(2x^2+9x+10)=(x^2-4)(2x+q) | | 2x+8y=180 | | 7c^2+35c+63=0 | | -.44(-.44)+4=Y | | 0.5x+2x=310 |

Equations solver categories