4x^2-7x+13=4x+7

Simple and best practice solution for 4x^2-7x+13=4x+7 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+13=4x+7 equation: 


Simplifying
4x2 + -7x + 13 = 4x + 7

Reorder the terms:
13 + -7x + 4x2 = 4x + 7

Reorder the terms:
13 + -7x + 4x2 = 7 + 4x

Solving
13 + -7x + 4x2 = 7 + 4x

Solving for variable 'x'.

Reorder the terms:
13 + -7 + -7x + -4x + 4x2 = 7 + 4x + -7 + -4x

Combine like terms: 13 + -7 = 6
6 + -7x + -4x + 4x2 = 7 + 4x + -7 + -4x

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

Reorder the terms:
6 + -11x + 4x2 = 7 + -7 + 4x + -4x

Combine like terms: 7 + -7 = 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:

| 3(43-5y)/3+5y=43 | | 3x-7+2x+2=180 | | 3/4(3+2x)=2/3(4+x)-1 | | 6x^2-5x-4=0# | | X+31.00=65 | | 4x-2(4x+4)=24 | | 224-7x=29x+20 | | x^2+6x-35=-2x-2 | | 21=-2x+6 | | 4(2y-1)=3y-4 | | -6/3+6 | | x^2+1-4=6 | | 3+4-5-6-3c+4c-7+c-2c+5c= | | 3x+5y=43 | | x^2-12x+37=10 | | x/3+6=4 | | (2x+1)+(3x+6)=42 | | 20b^2+3b-2= | | 90x+80=-60+80x | | X+31.00=50 | | 0.2-0.2(y-50)=0.2y-1 | | a^4-a^2b^2+b^2/4 | | 96=2W+2(2W+6) | | 2/3-4/5 | | -9/6-i= | | x/5+15=10 | | 18=-8x-6 | | 3x/5-2y/3=5 | | 4x+2=4-(6x-7) | | -20x+a^2=64 | | 13/1/4 | | 3m+8=53 |

Equations solver categories