4x^2-19x+45=5x+10

Simple and best practice solution for 4x^2-19x+45=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^2-19x+45=5x+10 equation: 


Simplifying
4x2 + -19x + 45 = 5x + 10

Reorder the terms:
45 + -19x + 4x2 = 5x + 10

Reorder the terms:
45 + -19x + 4x2 = 10 + 5x

Solving
45 + -19x + 4x2 = 10 + 5x

Solving for variable 'x'.

Reorder the terms:
45 + -10 + -19x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: 45 + -10 = 35
35 + -19x + -5x + 4x2 = 10 + 5x + -10 + -5x

Combine like terms: -19x + -5x = -24x
35 + -24x + 4x2 = 10 + 5x + -10 + -5x

Reorder the terms:
35 + -24x + 4x2 = 10 + -10 + 5x + -5x

Combine like terms: 10 + -10 = 0
35 + -24x + 4x2 = 0 + 5x + -5x
35 + -24x + 4x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
35 + -24x + 4x2 = 0

Factor a trinomial.
(5 + -2x)(7 + -2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2.5, 3.5}

See similar equations:

| 4*0-1=2*(2*0+3) | | 5(4x-10)+3x=-4 | | 7+10=52 | | 6x+4-2x=-4 | | 5x+6x+10=180 | | 16x^2-72x+63=0 | | 1/7=28n | | 22=x/8+4 | | x^2+1=226 | | -8c+2+6c=-23 | | -4+18x=3 | | x+3=15+4x | | y/6-3=2 | | 5/2x+1/2x=71/2+7/2x | | -12720+20x=-12720 | | 12x^2+7x-21=0 | | 3(q-5)=2(2+5) | | -5=4+1x | | 4x^3-12x^2+7x-21=0 | | 1x-2=-3 | | y=(-2)(-3)+4 | | -8+3x=4-3x | | x+28=180 | | -38+2b=-5(5-3b) | | 2(9-x)=2 | | 2x(4x-12)=3 | | y^2+5xy+y^2-xy= | | 13=2x-21 | | -1=-9v+11 | | 3x+15x=12 | | x^2+2x+3=-3x-1 | | 2x+10-x=9 |

Equations solver categories