x(5x-2)=(5x+1)(x-2)

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


Simplifying
x(5x + -2) = (5x + 1)(x + -2)

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

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

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

Multiply (1 + 5x) * (-2 + x)
-2x + 5x2 = (1(-2 + x) + 5x * (-2 + x))
-2x + 5x2 = ((-2 * 1 + x * 1) + 5x * (-2 + x))
-2x + 5x2 = ((-2 + 1x) + 5x * (-2 + x))
-2x + 5x2 = (-2 + 1x + (-2 * 5x + x * 5x))
-2x + 5x2 = (-2 + 1x + (-10x + 5x2))

Combine like terms: 1x + -10x = -9x
-2x + 5x2 = (-2 + -9x + 5x2)

Add '-5x2' to each side of the equation.
-2x + 5x2 + -5x2 = -2 + -9x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2x + 0 = -2 + -9x + 5x2 + -5x2
-2x = -2 + -9x + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-2x = -2 + -9x + 0
-2x = -2 + -9x

Solving
-2x = -2 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-2x + 9x = -2 + -9x + 9x

Combine like terms: -2x + 9x = 7x
7x = -2 + -9x + 9x

Combine like terms: -9x + 9x = 0
7x = -2 + 0
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

See similar equations:

| 12x-18=8x+30 | | 3(5x-2)-9(7-9x)+3(-5x+9)=-5(6-10x) | | 38=x-(-25) | | 5*x^2-20x-15x=0 | | -6.7x+1.5=-8.5-1.7x | | 3c+5x=521 | | sqrt(4+x)+sqrt(10-x)=6 | | (5p)(6p)= | | 0.70x+0.05(4-x)=0.10(41) | | 45-4y=9 | | 12x-32=7x+28 | | (4+9y)+(-2n-2)+(8y+7n)= | | -64=4(y-8) | | 7=4x+zx | | 5(x+6)=6(x-8) | | 3y+4y=42 | | 8-6y=20 | | 1x(5x)=6+3-3x | | 3-8=-61 | | (5m+8)+(6d-4)+(9n+6)= | | 7=2v+1 | | (7x+3)+(-8x+2)= | | -44=7h+3-4h+1 | | (8x-8)(3x+8)=0 | | 23x-23=15x+10 | | (8+6m)+(-2+9y)= | | 101-(5x+6)=5(x+8)+x | | 8w-w=63 | | 2-3x+3=9-2x+6 | | -63-4x=18+5x | | 8y-12-9y+3y=2 | | 2x-y=dy |

Equations solver categories