10x^2-3x=-2x+2

Simple and best practice solution for 10x^2-3x=-2x+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 10x^2-3x=-2x+2 equation: 


Simplifying
10x2 + -3x = -2x + 2

Reorder the terms:
-3x + 10x2 = -2x + 2

Reorder the terms:
-3x + 10x2 = 2 + -2x

Solving
-3x + 10x2 = 2 + -2x

Solving for variable 'x'.

Reorder the terms:
-2 + -3x + 2x + 10x2 = 2 + -2x + -2 + 2x

Combine like terms: -3x + 2x = -1x
-2 + -1x + 10x2 = 2 + -2x + -2 + 2x

Reorder the terms:
-2 + -1x + 10x2 = 2 + -2 + -2x + 2x

Combine like terms: 2 + -2 = 0
-2 + -1x + 10x2 = 0 + -2x + 2x
-2 + -1x + 10x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-2 + -1x + 10x2 = 0

Factor a trinomial.
(-2 + -5x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-0.4, 0.5}

See similar equations:

| .86=lnx | | y=3x+99 | | 6+3y=-9+2y | | 21x=4x+17 | | 2x^4+18x^2=0 | | 3/7*7/3 | | 3x+18/5+x+50/6=15 | | (8m-m)+4m= | | 2x^2+18x^2=0 | | 3(-9)+3x=3 | | 3(-9)+3(-4.4)= | | 2/3120 | | -2(3s-6)-12=-2(6s+8)-3 | | 3y+3(-4.4)=3 | | 2p(90Q+36)=158 | | 15x-12(-9)=42 | | 17=x+4 | | 56.5=2(28.25-1.5c)+3c | | 1/4(x-8)=1/2+x/6+3 | | 56.5=2a+3c | | X^2+8x+16=2x+14 | | 6/4=x/22 | | 117-6x=21x+15 | | 20(13-3)-4(8-3)/10(3-6)-2(4+2) | | 5-10x=104-31x | | -1/2*+5/2*5/2-5/2-4=0 | | 2x-5=-75-8x | | -2/5m=-6 | | -3(3s-1)-3=-3(5s+3)-4 | | 2(x-5)=(x+9) | | -7m+95-8(m-1)=8m-(5m-2)-4m+3 | | o/1 |

Equations solver categories