15x^2+14x-12=0

Simple and best practice solution for 15x^2+14x-12=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+14x-12=0 equation: 


Simplifying
15x2 + 14x + -12 = 0

Reorder the terms:
-12 + 14x + 15x2 = 0

Solving
-12 + 14x + 15x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
15 the coefficient of the squared term: 

Divide each side by '15'.
-0.8 + 0.9333333333x + x2 = 0

Move the constant term to the right:

Add '0.8' to each side of the equation.
-0.8 + 0.9333333333x + 0.8 + x2 = 0 + 0.8

Reorder the terms:
-0.8 + 0.8 + 0.9333333333x + x2 = 0 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.9333333333x + x2 = 0 + 0.8
0.9333333333x + x2 = 0 + 0.8

Combine like terms: 0 + 0.8 = 0.8
0.9333333333x + x2 = 0.8

The x term is 0.9333333333x.  Take half its coefficient (0.4666666667).
Square it (0.2177777778) and add it to both sides.

Add '0.2177777778' to each side of the equation.
0.9333333333x + 0.2177777778 + x2 = 0.8 + 0.2177777778

Reorder the terms:
0.2177777778 + 0.9333333333x + x2 = 0.8 + 0.2177777778

Combine like terms: 0.8 + 0.2177777778 = 1.0177777778
0.2177777778 + 0.9333333333x + x2 = 1.0177777778

Factor a perfect square on the left side:
(x + 0.4666666667)(x + 0.4666666667) = 1.0177777778

Calculate the square root of the right side: 1.00884973

Break this problem into two subproblems by setting 
(x + 0.4666666667) equal to 1.00884973 and -1.00884973.


Subproblem 1
x + 0.4666666667 = 1.00884973

Simplifying
x + 0.4666666667 = 1.00884973

Reorder the terms:
0.4666666667 + x = 1.00884973

Solving
0.4666666667 + x = 1.00884973

Solving for variable 'x'.

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

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.4666666667 + x = 1.00884973 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + x = 1.00884973 + -0.4666666667
x = 1.00884973 + -0.4666666667

Combine like terms: 1.00884973 + -0.4666666667 = 0.5421830633
x = 0.5421830633

Simplifying
x = 0.5421830633


Subproblem 2
x + 0.4666666667 = -1.00884973

Simplifying
x + 0.4666666667 = -1.00884973

Reorder the terms:
0.4666666667 + x = -1.00884973

Solving
0.4666666667 + x = -1.00884973

Solving for variable 'x'.

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

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.4666666667 + x = -1.00884973 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + x = -1.00884973 + -0.4666666667
x = -1.00884973 + -0.4666666667

Combine like terms: -1.00884973 + -0.4666666667 = -1.4755163967
x = -1.4755163967

Simplifying
x = -1.4755163967


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5421830633, -1.4755163967}

See similar equations:

| 79-3x+12=125 | | 3/2=r+1/2 | | -8-2(-3x+7)=3(-7x+2)+4 | | 10/3x-4=5 | | 3+5(2x-7)=7x+3x+1 | | 2(x-1/5)=3(x+1/5)+8x-1 | | 8x-2=8(x+9) | | -8+5m-3=-6(5-m)-8(m+2) | | D=230T | | 18-8(3-s)=-5(s+4)+27 | | 15x^2+14x-13=0 | | 6-n=5-(-n) | | -6+8+(-11)= | | 2t/3 | | 9/n=11/9 | | 1.67+2.43x=3.29x-16.45 | | -(x+6)=-14 | | -5(t-5)+7t=4t-8 | | 4x+7+3y-(1+3y+2x)= | | 0.01(x+7)-0.07=0.01(8x+7) | | 40/n=15/8 | | -4(5t-2)+7t=2t-9 | | -6-(8)+(-11)= | | Q=4186*3.21*100 | | -24+2n=-5(-3n-3) | | 15x^2-14x-13=0 | | 21=37-4e | | 9-(-z)=34 | | 9/10=4/n | | 4m-7=2m-8 | | 2=4(3k-8) | | 6c+8-3c+4= |

Equations solver categories