4x^2-13x+19=3x+4

Simple and best practice solution for 4x^2-13x+19=3x+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^2-13x+19=3x+4 equation: 


Simplifying
4x2 + -13x + 19 = 3x + 4

Reorder the terms:
19 + -13x + 4x2 = 3x + 4

Reorder the terms:
19 + -13x + 4x2 = 4 + 3x

Solving
19 + -13x + 4x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
19 + -4 + -13x + -3x + 4x2 = 4 + 3x + -4 + -3x

Combine like terms: 19 + -4 = 15
15 + -13x + -3x + 4x2 = 4 + 3x + -4 + -3x

Combine like terms: -13x + -3x = -16x
15 + -16x + 4x2 = 4 + 3x + -4 + -3x

Reorder the terms:
15 + -16x + 4x2 = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
15 + -16x + 4x2 = 0 + 3x + -3x
15 + -16x + 4x2 = 3x + -3x

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

| x-7-2x=6x | | -13-5n=-8n+5 | | 2x-8=4x | | 5x-2=3x-6 | | -24=-4+4a | | 5x-5=75-6x | | -91=-1-6v | | -x^8+8x^3-32xy=x | | 104=7n-8 | | 105=5(x-70)+55 | | 16x/4=0 | | 3x-2(2x-5)=2(x-3)-8 | | -0.004x^2+1.15x+12=0 | | -1-7x=118 | | -16t^2+60t-36=0 | | 158=x+2x+(x+30) | | 0.9w-0.6w+0.2w=2 | | 28ab-12b+63a-27=0 | | x-13=-23 | | 1.1=6d+0.5 | | 10x+25(x-5)=190 | | -24=3(x-1) | | 2-4x=5x+2 | | -18=-3-b | | 9t+28=3 | | 5x^2=28x-49 | | 2x(2-4p)-(p-6x)= | | -2x+3-8x=23 | | 2x^2-6x+11=0 | | -4x^2+16x-1=0 | | X^4-32x^2-144=0 | | -3(x+4)=6 |

Equations solver categories