15x^2-38x+7=0

Simple and best practice solution for 15x^2-38x+7=0 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 15x^2-38x+7=0 equation: 


Simplifying
15x2 + -38x + 7 = 0

Reorder the terms:
7 + -38x + 15x2 = 0

Solving
7 + -38x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -5x)(7 + -3x) = 0


Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0.2, 2.333333333}

See similar equations:

| 5(3x+2y)+3(7x+4y)= | | 4x+115=12x-13 | | 20x=3x^3+2 | | 8x+115=-13 | | 28-(x+9)=7x-5 | | 9y-12-7y+9=0 | | Y+18= | | 9x-6=6x+9x+12 | | (8x+13)=(6x+25) | | -9r+3=-15 | | 10x+8=5x-4 | | 10(-1+7m)-(2m-7)= | | 2(x+1)2=5(4-x) | | Txt= | | 10x+5=15x-7 | | 3+3q=7+2q | | 9t^2-70t+90=0 | | -3x^2-4x+4=0 | | 4-4y+3=2y+13-4y | | 6x=150+x | | 6k-2z=18 | | 3q-10=2 | | 30x^2y^2+25xy^2+5y^2=0 | | 9(x-3)=5x+9 | | 2[V-4]-8=-6[-2V+2]-4V | | 16x-y^4=0 | | 5(t-3)-2+=-30 | | 5(n-2)+7n=26 | | 8s^2+26s-45=0 | | 2*x+3=13 | | 3w+-7w+2=30 | | X=40 |

Equations solver categories