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

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -5x + -4x = -9x
2 + -9x + 4x2 = 2 + 4x + -2 + -4x

Reorder the terms:
2 + -9x + 4x2 = 2 + -2 + 4x + -4x

Combine like terms: 2 + -2 = 0
2 + -9x + 4x2 = 0 + 4x + -4x
2 + -9x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -9x + 4x2 = 0

Factor a trinomial.
(1 + -4x)(2 + -1x) = 0


Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.25, 2}

See similar equations:

| -15+2m=25 | | 6a+4x=2x+5x | | 2(c+6)=7-3c | | 16a+y-5-a=35a+11 | | 15x^2+3y^2=5 | | 17=28v+16-15v-15-12v | | z+-3.19=5.83 | | x^2-xy-2x+3y-11=0 | | 5a-a=u+3a | | 4cosx+3=0 | | 97=9z+39-8z | | f(x)=x^4-6x^3+6x^2+24x-40 | | 128-x=32 | | 3p-75=2a | | 10x+154=3x-7 | | -15+2c=-11 | | 3a+4.2=3a-1.6 | | 83.4-0.5=y-3.08 | | 5xX=35 | | x+17=85-17 | | 20z-12=4(4z+3) | | 2+1.10m=5+0.95 | | z+18=163 | | 7+49x=28x+4 | | X-10=3x-2 | | 7+48x=28x+43 | | 7*4-10=3*4+4 | | 4x^2-21x+35=2x+7 | | (4+1)(10-5)= | | 24x^2+62x+33=0 | | 3(10+5)= | | -4+3x=-6+14x |

Equations solver categories