x(5x-2)+x(4x-7)=(9x+8)(x-1)

Simple and best practice solution for x(5x-2)+x(4x-7)=(9x+8)(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(5x-2)+x(4x-7)=(9x+8)(x-1) equation: 


Simplifying
x(5x + -2) + x(4x + -7) = (9x + 8)(x + -1)

Reorder the terms:
x(-2 + 5x) + x(4x + -7) = (9x + 8)(x + -1)
(-2 * x + 5x * x) + x(4x + -7) = (9x + 8)(x + -1)
(-2x + 5x2) + x(4x + -7) = (9x + 8)(x + -1)

Reorder the terms:
-2x + 5x2 + x(-7 + 4x) = (9x + 8)(x + -1)
-2x + 5x2 + (-7 * x + 4x * x) = (9x + 8)(x + -1)
-2x + 5x2 + (-7x + 4x2) = (9x + 8)(x + -1)

Reorder the terms:
-2x + -7x + 5x2 + 4x2 = (9x + 8)(x + -1)

Combine like terms: -2x + -7x = -9x
-9x + 5x2 + 4x2 = (9x + 8)(x + -1)

Combine like terms: 5x2 + 4x2 = 9x2
-9x + 9x2 = (9x + 8)(x + -1)

Reorder the terms:
-9x + 9x2 = (8 + 9x)(x + -1)

Reorder the terms:
-9x + 9x2 = (8 + 9x)(-1 + x)

Multiply (8 + 9x) * (-1 + x)
-9x + 9x2 = (8(-1 + x) + 9x * (-1 + x))
-9x + 9x2 = ((-1 * 8 + x * 8) + 9x * (-1 + x))
-9x + 9x2 = ((-8 + 8x) + 9x * (-1 + x))
-9x + 9x2 = (-8 + 8x + (-1 * 9x + x * 9x))
-9x + 9x2 = (-8 + 8x + (-9x + 9x2))

Combine like terms: 8x + -9x = -1x
-9x + 9x2 = (-8 + -1x + 9x2)

Add '-9x2' to each side of the equation.
-9x + 9x2 + -9x2 = -8 + -1x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9x + 0 = -8 + -1x + 9x2 + -9x2
-9x = -8 + -1x + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-9x = -8 + -1x + 0
-9x = -8 + -1x

Solving
-9x = -8 + -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.
-9x + x = -8 + -1x + x

Combine like terms: -9x + x = -8x
-8x = -8 + -1x + x

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

Divide each side by '-8'.
x = 1

Simplifying
x = 1

See similar equations:

| -6x+1=12-5x | | -7n-20=(-48) | | -4.9t^2+9t+15=y | | -5n+9=(-46) | | -2x+7(-5-12)=101 | | 4+x=-3x+16 | | f(-4)=5x-8 | | 4.9t^2+9t+15=y | | -4x-4=-54+x | | 3.8=x-7.2 | | Ad=-32 | | 5f= | | 3(a-4)+2(2a+5)= | | -4x-6=-x-18 | | 3(2x+5)=2(2x+12) | | p+8+7=8p+8 | | (7+4i)-(1-2i)=1 | | 36+2=-4 | | -5y-13=-58 | | (x+12)+2x=x | | -4x+3=x-7 | | x^2+9=x^2-6 | | 3=5x+(-2) | | m+17=37 | | 12x-7=35 | | 5y+3y=18-y | | 5b^2+33b=56 | | 2w-2=0 | | 14(2x-4)+2x=94 | | 9x^4+37x^2-4=0 | | 8+3x=7x+20 | | 7x+1.8-4.9x=0.5x-5.4 |

Equations solver categories