4x^2=2x+110

Simple and best practice solution for 4x^2=2x+110 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 4x^2=2x+110 equation:


Simplifying
4x2 = 2x + 110

Reorder the terms:
4x2 = 110 + 2x

Solving
4x2 = 110 + 2x

Solving for variable 'x'.

Reorder the terms:
-110 + -2x + 4x2 = 110 + 2x + -110 + -2x

Reorder the terms:
-110 + -2x + 4x2 = 110 + -110 + 2x + -2x

Combine like terms: 110 + -110 = 0
-110 + -2x + 4x2 = 0 + 2x + -2x
-110 + -2x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-110 + -2x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + -1x + 2x2) = 0

Factor a trinomial.
2((-5 + -1x)(11 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5

Solution

x = {-5, 5.5}

See similar equations:

| -7(2t+5)=-91 | | 5(4X-3)-4(3+2X)+(8X+7)=28 | | 96=24t | | -8+3x=-x+16 | | 100/x=15 | | f(x)=3x^2+12x+13 | | 3(f-9)=39 | | 6n^2=-6 | | x/100=15 | | s*5+17=127 | | 5n+14-3n=30 | | 2(4x-4)=x+6 | | 100=x/15 | | (7t-6)(7t+6)=0 | | y^2=1-4x^2 | | 5s+s=42 | | log[2](5x+2)=3 | | t+3t=52 | | pi^3/4 | | -29+6x=55-x | | -4v+15.9=3.1 | | 3(7-y)/5=-y | | -4x-22=23+x | | 1/4(x-3)=3x-11/4*4x-3 | | x+2(2+x)=4-x | | x^4+4x^3-35x^2-150x=0 | | (0.15-0.07-x)/0.2=0.1875 | | 2x+6x-25=100 | | 2x+2y-10= | | (15-7-x)/20=18,75 | | s*6+35=209 | | 8(k+2)=3k-14 |

Equations solver categories