x^2+5x-915=

Simple and best practice solution for x^2+5x-915= 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+5x-915= equation:


Simplifying
x2 + 5x + -915 = 0

Reorder the terms:
-915 + 5x + x2 = 0

Solving
-915 + 5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '915' to each side of the equation.
-915 + 5x + 915 + x2 = 0 + 915

Reorder the terms:
-915 + 915 + 5x + x2 = 0 + 915

Combine like terms: -915 + 915 = 0
0 + 5x + x2 = 0 + 915
5x + x2 = 0 + 915

Combine like terms: 0 + 915 = 915
5x + x2 = 915

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 915 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 915 + 6.25

Combine like terms: 915 + 6.25 = 921.25
6.25 + 5x + x2 = 921.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 921.25

Calculate the square root of the right side: 30.352100422

Break this problem into two subproblems by setting 
(x + 2.5) equal to 30.352100422 and -30.352100422.

Subproblem 1

x + 2.5 = 30.352100422 Simplifying x + 2.5 = 30.352100422 Reorder the terms: 2.5 + x = 30.352100422 Solving 2.5 + x = 30.352100422 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = 30.352100422 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = 30.352100422 + -2.5 x = 30.352100422 + -2.5 Combine like terms: 30.352100422 + -2.5 = 27.852100422 x = 27.852100422 Simplifying x = 27.852100422

Subproblem 2

x + 2.5 = -30.352100422 Simplifying x + 2.5 = -30.352100422 Reorder the terms: 2.5 + x = -30.352100422 Solving 2.5 + x = -30.352100422 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + x = -30.352100422 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + x = -30.352100422 + -2.5 x = -30.352100422 + -2.5 Combine like terms: -30.352100422 + -2.5 = -32.852100422 x = -32.852100422 Simplifying x = -32.852100422

Solution

The solution to the problem is based on the solutions from the subproblems. x = {27.852100422, -32.852100422}

See similar equations:

| 285=75+26w | | 36=9r | | 2x-8y+6=0 | | (w/6)-4=20 | | 2u=-6 | | 2x+6+8x+2= | | 4x-4+105=13x+2 | | 4x(5-7)=8 | | 3x+24=x^2+4 | | 20-x=-17 | | 6-8X=-14-8x | | -15r=-16 | | -2(7-y+4)=-4 | | -3(y-5)=2(2x-6) | | 3t+16.9=-[11t-29.5] | | 100-x=100-0.4x | | 3x-4(2x-3)=-2x-3 | | 4a+-5=11 | | 9-10X=-14-8x | | 4b+3+b=93 | | 0.285(4m-18)=12 | | 11w+2[3w-1]=15w | | 5b^2(b^2+4)=28-11b^2 | | x^2+3x+k^2= | | 2x^2+24-10=0 | | 3(b+3)=93 | | 135=27j | | w+2=-43-8w | | 2(x+4)+7=2x+5 | | 3(b)+3=93 | | 12x-9.6-9x=10x | | 3x+55+2x=65 |

Equations solver categories