x^2+2.4x-5=0

Simple and best practice solution for x^2+2.4x-5=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 x^2+2.4x-5=0 equation: 


Simplifying
x2 + 2.4x + -5 = 0

Reorder the terms:
-5 + 2.4x + x2 = 0

Solving
-5 + 2.4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 2.4x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 2.4x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2.4x + x2 = 0 + 5
2.4x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2.4x + x2 = 5

The x term is 2.4x.  Take half its coefficient (1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
2.4x + 1.44 + x2 = 5 + 1.44

Reorder the terms:
1.44 + 2.4x + x2 = 5 + 1.44

Combine like terms: 5 + 1.44 = 6.44
1.44 + 2.4x + x2 = 6.44

Factor a perfect square on the left side:
(x + 1.2)(x + 1.2) = 6.44

Calculate the square root of the right side: 2.537715508

Break this problem into two subproblems by setting 
(x + 1.2) equal to 2.537715508 and -2.537715508.


Subproblem 1
x + 1.2 = 2.537715508

Simplifying
x + 1.2 = 2.537715508

Reorder the terms:
1.2 + x = 2.537715508

Solving
1.2 + x = 2.537715508

Solving for variable 'x'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + x = 2.537715508 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + x = 2.537715508 + -1.2
x = 2.537715508 + -1.2

Combine like terms: 2.537715508 + -1.2 = 1.337715508
x = 1.337715508

Simplifying
x = 1.337715508


Subproblem 2
x + 1.2 = -2.537715508

Simplifying
x + 1.2 = -2.537715508

Reorder the terms:
1.2 + x = -2.537715508

Solving
1.2 + x = -2.537715508

Solving for variable 'x'.

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

Add '-1.2' to each side of the equation.
1.2 + -1.2 + x = -2.537715508 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + x = -2.537715508 + -1.2
x = -2.537715508 + -1.2

Combine like terms: -2.537715508 + -1.2 = -3.737715508
x = -3.737715508

Simplifying
x = -3.737715508


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.337715508, -3.737715508}

See similar equations:

| 6v+6(v+6)=-21 | | -4x-57+11x=27 | | 5(u-3)=5u+1-2(-2u-1) | | In(x)=9 | | -2(4x+3)= | | |8x-7/8|=6 | | 9c=27c-1 | | -9x-9+7x=15 | | 3x+4t=30 | | u-4.3=7.56 | | (5/7x)-2=17 | | 3x+200=5x | | 8(x+1)-2x=6+6x+2 | | 4(x-2)+8x-10= | | 39-18=3(x-7) | | 5/7x-2=17 | | -8x-35+4x=25 | | x+2.6=7.15 | | 4(4x+9)+5=16x+41 | | 21=5w+6(w-2) | | w+4.38=8.45 | | 20x+x^2=400 | | a/130-35=290 | | log(5x-1)=1 | | u-8.93=4.2 | | 7x+15=3x+4x+3 | | 5(x-3)-12=30x-327 | | y13/y6= | | 35-15=(x-9) | | y13/y6 | | 2x-152+12x=72 | | 5-8x=3x+38 |

Equations solver categories