2x^2-2=10x-2

Simple and best practice solution for 2x^2-2=10x-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 2x^2-2=10x-2 equation:


Simplifying
2x2 + -2 = 10x + -2

Reorder the terms:
-2 + 2x2 = 10x + -2

Reorder the terms:
-2 + 2x2 = -2 + 10x

Add '2' to each side of the equation.
-2 + 2 + 2x2 = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
0 + 2x2 = -2 + 2 + 10x
2x2 = -2 + 2 + 10x

Combine like terms: -2 + 2 = 0
2x2 = 0 + 10x
2x2 = 10x

Solving
2x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + 2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5 + x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5

Solution

x = {0, 5}

See similar equations:

| 2y=45x-23y | | -36=6(2-8x) | | 2+3x= | | -24=5x+3x | | x^3-10x^2+25= | | 3x-(-10)=1 | | 2t^2+13t-18= | | -(14n-8)=-(9n-8)-5n | | 6x^2(-2)=98 | | 3b+4+5b-1= | | a^2+15=2a^2-65 | | 7x-5=8x+8 | | 8(y+3)=10y+24 | | 2n+-1n+7=12 | | -1x^2+1x+6=0 | | -17=2x-3 | | 12p+4-9-11p=14 | | 13a-(-76)=-119 | | y+2(x+7)=5(x-7) | | 4y+7+9y+4=180 | | 3(j+1)=4j-1 | | 5y-10+y=7y+18-5y | | 3(x+2)-6=7x | | 12+2y=18 | | 16=22-w | | .76x-.83=.6x | | 25-3a=10 | | 16=12x+1 | | 32=7a+4 | | 4y-4+y+24=6+20-4y | | 2a+6=10 | | -6-8c=3c+6 |

Equations solver categories