x(3x-2)+x(4x-5)=(7x+4)(x-1)

Simple and best practice solution for x(3x-2)+x(4x-5)=(7x+4)(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(3x-2)+x(4x-5)=(7x+4)(x-1) equation: 


Simplifying
x(3x + -2) + x(4x + -5) = (7x + 4)(x + -1)

Reorder the terms:
x(-2 + 3x) + x(4x + -5) = (7x + 4)(x + -1)
(-2 * x + 3x * x) + x(4x + -5) = (7x + 4)(x + -1)
(-2x + 3x2) + x(4x + -5) = (7x + 4)(x + -1)

Reorder the terms:
-2x + 3x2 + x(-5 + 4x) = (7x + 4)(x + -1)
-2x + 3x2 + (-5 * x + 4x * x) = (7x + 4)(x + -1)
-2x + 3x2 + (-5x + 4x2) = (7x + 4)(x + -1)

Reorder the terms:
-2x + -5x + 3x2 + 4x2 = (7x + 4)(x + -1)

Combine like terms: -2x + -5x = -7x
-7x + 3x2 + 4x2 = (7x + 4)(x + -1)

Combine like terms: 3x2 + 4x2 = 7x2
-7x + 7x2 = (7x + 4)(x + -1)

Reorder the terms:
-7x + 7x2 = (4 + 7x)(x + -1)

Reorder the terms:
-7x + 7x2 = (4 + 7x)(-1 + x)

Multiply (4 + 7x) * (-1 + x)
-7x + 7x2 = (4(-1 + x) + 7x * (-1 + x))
-7x + 7x2 = ((-1 * 4 + x * 4) + 7x * (-1 + x))
-7x + 7x2 = ((-4 + 4x) + 7x * (-1 + x))
-7x + 7x2 = (-4 + 4x + (-1 * 7x + x * 7x))
-7x + 7x2 = (-4 + 4x + (-7x + 7x2))

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

Add '-7x2' to each side of the equation.
-7x + 7x2 + -7x2 = -4 + -3x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x + 0 = -4 + -3x + 7x2 + -7x2
-7x = -4 + -3x + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-7x = -4 + -3x + 0
-7x = -4 + -3x

Solving
-7x = -4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7x + 3x = -4 + -3x + 3x

Combine like terms: -7x + 3x = -4x
-4x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4x = -4 + 0
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

See similar equations:

| x+1/x-3-3/5=4/x-3 | | 3.7x-1.9=-9.3 | | 12x-8+3x-4=11x-2+3x | | 5b-20=10b+5 | | (4x^2+6x-2)+(6x^2-9x+5)= | | x^4-16x^3+60x^2=0 | | 3=-5x+1 | | 15x-14=14x | | 5/x=7/8 | | 2x+4x+10=22 | | 6k+54-2+9k=14k | | x-6/x+2=5/6 | | 7x=10+5x | | 2x=1398 | | -3a+9+5a=7a-2a | | 6y-6=8+5y | | 1/4x+6=-9 | | 17x=136 | | 16x+(3/7)=78x | | 2x=-4-18 | | -11-4x=-8x+5 | | 0.2x+0.8=5 | | 2x-15=-3x-30 | | -5=-6(x+7)-(-7x-9) | | -x+18=8x-18 | | 5x-7=x+21 | | -5(Y+5)=-6y | | 2/3x-8=0 | | 4.8x=-33.6 | | -28m-9=95 | | n(n^2-1)+n(n-1)= | | -12y+15=3x |

Equations solver categories