12x^2+7x-8=0

Simple and best practice solution for 12x^2+7x-8=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 12x^2+7x-8=0 equation: 


Simplifying
12x2 + 7x + -8 = 0

Reorder the terms:
-8 + 7x + 12x2 = 0

Solving
-8 + 7x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
-0.6666666667 + 0.5833333333x + x2 = 0

Move the constant term to the right:

Add '0.6666666667' to each side of the equation.
-0.6666666667 + 0.5833333333x + 0.6666666667 + x2 = 0 + 0.6666666667

Reorder the terms:
-0.6666666667 + 0.6666666667 + 0.5833333333x + x2 = 0 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.0000000000 + 0.5833333333x + x2 = 0 + 0.6666666667
0.5833333333x + x2 = 0 + 0.6666666667

Combine like terms: 0 + 0.6666666667 = 0.6666666667
0.5833333333x + x2 = 0.6666666667

The x term is 0.5833333333x.  Take half its coefficient (0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
0.5833333333x + 0.08506944446 + x2 = 0.6666666667 + 0.08506944446

Reorder the terms:
0.08506944446 + 0.5833333333x + x2 = 0.6666666667 + 0.08506944446

Combine like terms: 0.6666666667 + 0.08506944446 = 0.75173611116
0.08506944446 + 0.5833333333x + x2 = 0.75173611116

Factor a perfect square on the left side:
(x + 0.2916666667)(x + 0.2916666667) = 0.75173611116

Calculate the square root of the right side: 0.867027169

Break this problem into two subproblems by setting 
(x + 0.2916666667) equal to 0.867027169 and -0.867027169.


Subproblem 1
x + 0.2916666667 = 0.867027169

Simplifying
x + 0.2916666667 = 0.867027169

Reorder the terms:
0.2916666667 + x = 0.867027169

Solving
0.2916666667 + x = 0.867027169

Solving for variable 'x'.

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

Add '-0.2916666667' to each side of the equation.
0.2916666667 + -0.2916666667 + x = 0.867027169 + -0.2916666667

Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000
0.0000000000 + x = 0.867027169 + -0.2916666667
x = 0.867027169 + -0.2916666667

Combine like terms: 0.867027169 + -0.2916666667 = 0.5753605023
x = 0.5753605023

Simplifying
x = 0.5753605023


Subproblem 2
x + 0.2916666667 = -0.867027169

Simplifying
x + 0.2916666667 = -0.867027169

Reorder the terms:
0.2916666667 + x = -0.867027169

Solving
0.2916666667 + x = -0.867027169

Solving for variable 'x'.

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

Add '-0.2916666667' to each side of the equation.
0.2916666667 + -0.2916666667 + x = -0.867027169 + -0.2916666667

Combine like terms: 0.2916666667 + -0.2916666667 = 0.0000000000
0.0000000000 + x = -0.867027169 + -0.2916666667
x = -0.867027169 + -0.2916666667

Combine like terms: -0.867027169 + -0.2916666667 = -1.1586938357
x = -1.1586938357

Simplifying
x = -1.1586938357


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5753605023, -1.1586938357}

See similar equations:

| 2x-5=5x+5 | | -2(x+6)+2=-4-(10-2x) | | 7=[14x+2] | | -.75(x-8)+.50(x+2)=x+6 | | -(2x+2)-1=-x-x+3 | | [2+14x]=2 | | x^2+kx-(k+5)=0 | | v=8*2 | | 2a-8=a-1 | | 3.(2x-1)+21=5.(3x-2)+1 | | -9x^2+9=0 | | 4=[4+16x] | | 4.05+8t+8b=4.05 | | 3x+5=2(x+4) | | 9=[3x+15] | | 0.2t=0.9+0.4t | | 4(x+7)=-24(x+4) | | 0.30x+0.05(16-x)=0.10(43) | | (3x-5)=(2x+25) | | 1.8k=7.56 | | x-2y+3w=z | | 3o+6x=25 | | 2x-4x(2-y)=z | | 4(x+3)-(1-x)=1 | | 2x-4x(2-y)= | | (13-x)-(13-x)=0 | | x-2y+3w= | | 0.2(50)+0.8x=0.4(50+x) | | 12=2(-2)+16 | | 4.(x+3)-(1-x)=1 | | x+7=x-17 | | (-1x^2+3x+13)*(-1x^2+3x+13)=0 |

Equations solver categories