x(2x-2)+x(2x-2)=(4x+3)(x-7)

Simple and best practice solution for x(2x-2)+x(2x-2)=(4x+3)(x-7) 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(2x-2)+x(2x-2)=(4x+3)(x-7) equation: 


Simplifying
x(2x + -2) + x(2x + -2) = (4x + 3)(x + -7)

Reorder the terms:
x(-2 + 2x) + x(2x + -2) = (4x + 3)(x + -7)
(-2 * x + 2x * x) + x(2x + -2) = (4x + 3)(x + -7)
(-2x + 2x2) + x(2x + -2) = (4x + 3)(x + -7)

Reorder the terms:
-2x + 2x2 + x(-2 + 2x) = (4x + 3)(x + -7)
-2x + 2x2 + (-2 * x + 2x * x) = (4x + 3)(x + -7)
-2x + 2x2 + (-2x + 2x2) = (4x + 3)(x + -7)

Reorder the terms:
-2x + -2x + 2x2 + 2x2 = (4x + 3)(x + -7)

Combine like terms: -2x + -2x = -4x
-4x + 2x2 + 2x2 = (4x + 3)(x + -7)

Combine like terms: 2x2 + 2x2 = 4x2
-4x + 4x2 = (4x + 3)(x + -7)

Reorder the terms:
-4x + 4x2 = (3 + 4x)(x + -7)

Reorder the terms:
-4x + 4x2 = (3 + 4x)(-7 + x)

Multiply (3 + 4x) * (-7 + x)
-4x + 4x2 = (3(-7 + x) + 4x * (-7 + x))
-4x + 4x2 = ((-7 * 3 + x * 3) + 4x * (-7 + x))
-4x + 4x2 = ((-21 + 3x) + 4x * (-7 + x))
-4x + 4x2 = (-21 + 3x + (-7 * 4x + x * 4x))
-4x + 4x2 = (-21 + 3x + (-28x + 4x2))

Combine like terms: 3x + -28x = -25x
-4x + 4x2 = (-21 + -25x + 4x2)

Add '-4x2' to each side of the equation.
-4x + 4x2 + -4x2 = -21 + -25x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x + 0 = -21 + -25x + 4x2 + -4x2
-4x = -21 + -25x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x = -21 + -25x + 0
-4x = -21 + -25x

Solving
-4x = -21 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
-4x + 25x = -21 + -25x + 25x

Combine like terms: -4x + 25x = 21x
21x = -21 + -25x + 25x

Combine like terms: -25x + 25x = 0
21x = -21 + 0
21x = -21

Divide each side by '21'.
x = -1

Simplifying
x = -1

See similar equations:

| .04x=200000 | | 2m+10=4 | | 3(y-9)=-7(4+y) | | 6x^2+52x-56=0 | | 7(x-3)=3x-17 | | 3x-8+3x-8+116=180 | | -.5*32x^2+48x=20 | | .03x=200000 | | -4=2y+8(y-3) | | 10=-4+2x | | (3z-5)(2+z)=0 | | (8m-4)(-5.5)= | | x-5(0)=20 | | h+5(n-1)=7 | | 2x+22=2 | | -7(x+2)=5x+22 | | 12+5n=-2(-5+2n)+8n | | 92=-x+157 | | -5(6-x)+6=8-7(x+2) | | x^6-28x-64=0 | | -u+101=173 | | 2y+x=60 | | x=13+-3y | | x-5=y+5 | | 0-5y=25 | | 3(7x+7)=210 | | -4u-32=7(u+8) | | -6w+3+w=4w+30 | | 21x-20x+14=-18 | | 6a-2b+3(a-b)=o | | 12(6x-7)=108x | | s(2+42)=85 |

Equations solver categories