x^2+24x-7=0

Simple and best practice solution for x^2+24x-7=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+24x-7=0 equation:


Simplifying
x2 + 24x + -7 = 0

Reorder the terms:
-7 + 24x + x2 = 0

Solving
-7 + 24x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '7' to each side of the equation.
-7 + 24x + 7 + x2 = 0 + 7

Reorder the terms:
-7 + 7 + 24x + x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 24x + x2 = 0 + 7
24x + x2 = 0 + 7

Combine like terms: 0 + 7 = 7
24x + x2 = 7

The x term is 24x.  Take half its coefficient (12).
Square it (144) and add it to both sides.

Add '144' to each side of the equation.
24x + 144 + x2 = 7 + 144

Reorder the terms:
144 + 24x + x2 = 7 + 144

Combine like terms: 7 + 144 = 151
144 + 24x + x2 = 151

Factor a perfect square on the left side:
(x + 12)(x + 12) = 151

Calculate the square root of the right side: 12.288205727

Break this problem into two subproblems by setting 
(x + 12) equal to 12.288205727 and -12.288205727.

Subproblem 1

x + 12 = 12.288205727 Simplifying x + 12 = 12.288205727 Reorder the terms: 12 + x = 12.288205727 Solving 12 + x = 12.288205727 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 12.288205727 + -12 Combine like terms: 12 + -12 = 0 0 + x = 12.288205727 + -12 x = 12.288205727 + -12 Combine like terms: 12.288205727 + -12 = 0.288205727 x = 0.288205727 Simplifying x = 0.288205727

Subproblem 2

x + 12 = -12.288205727 Simplifying x + 12 = -12.288205727 Reorder the terms: 12 + x = -12.288205727 Solving 12 + x = -12.288205727 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = -12.288205727 + -12 Combine like terms: 12 + -12 = 0 0 + x = -12.288205727 + -12 x = -12.288205727 + -12 Combine like terms: -12.288205727 + -12 = -24.288205727 x = -24.288205727 Simplifying x = -24.288205727

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.288205727, -24.288205727}

See similar equations:

| w-2+3=-2 | | 9a-7=-7 | | 8p+5=6p+1 | | 4x+13=-23-2x | | 47=6-20x-19 | | x^25=17 | | (4x+5/7)+(2/7)=(-7x/3) | | 2080x+389.88x=46000 | | 4x+2[4-2(x-2)]=2x-4 | | 4t+7-t=10 | | 4x+7(-x+11)=41 | | -3(6a-5)=159 | | 2x+12=6x+12 | | x^2+8x+25=81 | | 2n-5=3+6n | | (-9/x)+(2/x)=-4 | | -6x^2-4x+15=0 | | 7v+21= | | 1.25x-.01y=4.3 | | 4[5-(x-2)]-3(2-x)= | | 25-4y=1+4y | | 4x-4x=2 | | 2a-3ab= | | 6x+4+6(x+1)=-7x+7 | | 2(t-2)+6t=4(2t+4)-8 | | 25-4y=-14+2y | | 4.07+5.5m=4.4m | | 4e(5+3s)= | | d-8-2=12 | | 6x-68= | | 14-3n=8n-3(n-3) | | -5.52-6.7b=-6.4b |

Equations solver categories