4x^2-7x+10=4x+4

Simple and best practice solution for 4x^2-7x+10=4x+4 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^2-7x+10=4x+4 equation: 


Simplifying
4x2 + -7x + 10 = 4x + 4

Reorder the terms:
10 + -7x + 4x2 = 4x + 4

Reorder the terms:
10 + -7x + 4x2 = 4 + 4x

Solving
10 + -7x + 4x2 = 4 + 4x

Solving for variable 'x'.

Reorder the terms:
10 + -4 + -7x + -4x + 4x2 = 4 + 4x + -4 + -4x

Combine like terms: 10 + -4 = 6
6 + -7x + -4x + 4x2 = 4 + 4x + -4 + -4x

Combine like terms: -7x + -4x = -11x
6 + -11x + 4x2 = 4 + 4x + -4 + -4x

Reorder the terms:
6 + -11x + 4x2 = 4 + -4 + 4x + -4x

Combine like terms: 4 + -4 = 0
6 + -11x + 4x2 = 0 + 4x + -4x
6 + -11x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -11x + 4x2 = 0

Factor a trinomial.
(3 + -4x)(2 + -1x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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 = {0.75, 2}

See similar equations:

| 35=-3+9(f-7) | | -16t^2+114t+6=0 | | X+2x-15= | | -3n-5n=-18 | | x*x+5x-36=0 | | 2x=22y | | (9r+4)(5r-15)=0 | | 3x-(5+x)=38 | | 4(7c-3)=28 | | 5(x+3)-2x=3(x+1)+12 | | (8t+3)(5t-15)=0 | | 4n=-2n+24 | | 10m=5m-7 | | 3b+5-8b=-18 | | 4x-9+3=33 | | 2.5x+2.4=5.6 | | 24w=100 | | 24=3(9y+7) | | mx^2-3x+m=0 | | 5v^2+17v=-6 | | 6x+8+3x+6=3x+4 | | 15r^2-7r-9=0 | | 10-6y*6=-60 | | 7+7x=47+x | | 8ln(6x)=24 | | 9(7f-4)=28 | | 5(c+3)-8(1-3c)+4[5-(3+c)]=45 | | 10x-6*6=-60 | | 20=6+x | | 25=-3(7z-6) | | 3(-3)=6 | | 32=-6d+4d |

Equations solver categories