x^2+30x-40=0

Simple and best practice solution for x^2+30x-40=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+30x-40=0 equation:


Simplifying
x2 + 30x + -40 = 0

Reorder the terms:
-40 + 30x + x2 = 0

Solving
-40 + 30x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '40' to each side of the equation.
-40 + 30x + 40 + x2 = 0 + 40

Reorder the terms:
-40 + 40 + 30x + x2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + 30x + x2 = 0 + 40
30x + x2 = 0 + 40

Combine like terms: 0 + 40 = 40
30x + x2 = 40

The x term is 30x.  Take half its coefficient (15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
30x + 225 + x2 = 40 + 225

Reorder the terms:
225 + 30x + x2 = 40 + 225

Combine like terms: 40 + 225 = 265
225 + 30x + x2 = 265

Factor a perfect square on the left side:
(x + 15)(x + 15) = 265

Calculate the square root of the right side: 16.278820596

Break this problem into two subproblems by setting 
(x + 15) equal to 16.278820596 and -16.278820596.

Subproblem 1

x + 15 = 16.278820596 Simplifying x + 15 = 16.278820596 Reorder the terms: 15 + x = 16.278820596 Solving 15 + x = 16.278820596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 16.278820596 + -15 Combine like terms: 15 + -15 = 0 0 + x = 16.278820596 + -15 x = 16.278820596 + -15 Combine like terms: 16.278820596 + -15 = 1.278820596 x = 1.278820596 Simplifying x = 1.278820596

Subproblem 2

x + 15 = -16.278820596 Simplifying x + 15 = -16.278820596 Reorder the terms: 15 + x = -16.278820596 Solving 15 + x = -16.278820596 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = -16.278820596 + -15 Combine like terms: 15 + -15 = 0 0 + x = -16.278820596 + -15 x = -16.278820596 + -15 Combine like terms: -16.278820596 + -15 = -31.278820596 x = -31.278820596 Simplifying x = -31.278820596

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.278820596, -31.278820596}

See similar equations:

| 5x+5=52 | | 4-293x-4=1-(5x+4) | | 0+50*1-60-60*0+10=C | | q=40-0.5p | | -100+82=x | | 4(5x-1)-10x=3 | | -6x-3.4=3x+.2 | | -70-(-58)=x | | x^2+12x+56=0 | | -6x(x+4)-x^2+8-5x= | | 7x^8-38x^6+15x^4=0 | | 5x^4-11x^2+2=0 | | 2+w=-6 | | 5m^4-7m^2-6=0 | | 3x^2+3x+2=24 | | 0.16x^2+0.16x-0.26=0 | | x^2-4x+1= | | -3a^3+7a^2+4a+2+-a^3+a^2-9a+1= | | (2a+8b)= | | (-3x^2-1)*(-x+9)= | | u^4+8u^2+15=0 | | (x-2)-(3-x)=1 | | -3x+5-5=29-5 | | (2y^5+3y^4+y+1)+(8y^5-3y^4+4y-7)= | | 42b^2-60b-48=0 | | 28n^2-8n=0 | | 4-x=16-2x | | 4p-6+6=2p+10 | | 3b^3-7b^2=0 | | 4sin(2x)=3+cos(x) | | x^2-6+1=0 | | 8(x-1)-17(x-3)=4(4x-9)+4 |

Equations solver categories