2(x^2-2)+x=4x-5

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


Simplifying
2(x2 + -2) + x = 4x + -5

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

Reorder the terms:
-4 + x + 2x2 = 4x + -5

Reorder the terms:
-4 + x + 2x2 = -5 + 4x

Solving
-4 + x + 2x2 = -5 + 4x

Solving for variable 'x'.

Reorder the terms:
-4 + 5 + x + -4x + 2x2 = -5 + 4x + 5 + -4x

Combine like terms: -4 + 5 = 1
1 + x + -4x + 2x2 = -5 + 4x + 5 + -4x

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

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

Combine like terms: -5 + 5 = 0
1 + -3x + 2x2 = 0 + 4x + -4x
1 + -3x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -3x + 2x2 = 0

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


Subproblem 1
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

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {0.5, 1}

See similar equations:

| 100/1.25 | | 25x-6-18x+3=17x-3-10x+13 | | 1.25/100 | | (2x-7)(3x-6)=0 | | 90=10+4q | | 26x-12-18x=4(2x-4)+4 | | 3.51x^2-10.07x+3.04=0 | | 9a+68=4a+73 | | 80-(5x+12)=5(X+7)+X | | 4x+2x-5=5 | | 2x^2+7x-6=9 | | 100-2q=30+3q | | -9.8*0.5= | | X^2-12x+y^2+8y-24=0 | | 3(x-1)-2(x+1)=-1 | | 6(x-2)-9=-3(-8x+2)-6x | | 0.5*-9.8= | | 3x+2(7)=23 | | 3v-99=2v-46 | | 4lny=10 | | 22x-7-12x+3=25x-7-15x+13 | | 6x-2=2(4x-10) | | .75x-1.5=10 | | Ax^2+10ax-24a=0 | | 8=16/a | | 1.5x-.75=10 | | (7x+1)(x+7)=0 | | 3.93x^2-11.35x+3.24=0 | | 6q+3=9+4q | | .75x+1.5=10 | | 2x-18y=3 | | 1d=51.24 |

Equations solver categories