4x^2-11x+25=5x+10

Simple and best practice solution for 4x^2-11x+25=5x+10 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^2-11x+25=5x+10 equation: 


Simplifying
4x2 + -11x + 25 = 5x + 10

Reorder the terms:
25 + -11x + 4x2 = 5x + 10

Reorder the terms:
25 + -11x + 4x2 = 10 + 5x

Solving
25 + -11x + 4x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
25 + -10 + -11x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: 25 + -10 = 15
15 + -11x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: -11x + -5x = -16x
15 + -16x + 4x2 = 10 + 5x + -10 + -5x

Reorder the terms:
15 + -16x + 4x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
15 + -16x + 4x2 = 0 + 5x + -5x
15 + -16x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -16x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1.5, 2.5}

See similar equations:

| 7+244= | | -58-7x=117-28x | | 18+n/44 | | z^2-5+12i=0 | | 2(-17-10)+4=18 | | 5y-9-9y=23 | | x^2-20x+15=-9x+5 | | y=x^2+3x-23 | | 3x-4y=83 | | 2x+4/3 | | 5(5x+1)=30 | | 5x-18/x-7 | | -42-2x=3x+19 | | 1/3x+1/2y=0 | | -n/4+7=-4 | | 6x-6=9x+21 | | 90-4x=7x+9x | | 2x-15/x+9 | | (9a-5b+10c)+(-8a+12b-10c)= | | 10y-(1+y)=3(2y-2)-20 | | 0.6x+9.1=5.8 | | -9y=72-6x | | 1-2a-(3a-10)=3-a | | 24/2 | | (-6x^2+7)+(4x^2+5)= | | 3n^2+12n-27=0 | | 9/17+x=3/8 | | 6(3x-3)=3(6x+1) | | -14-x+-9-5x=4x | | 3x=2x+1/7 | | x^2+14-3=0 | | X+6/x=-5 |

Equations solver categories