x^2+4x-602=0

Simple and best practice solution for x^2+4x-602=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+4x-602=0 equation:


Simplifying
x2 + 4x + -602 = 0

Reorder the terms:
-602 + 4x + x2 = 0

Solving
-602 + 4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '602' to each side of the equation.
-602 + 4x + 602 + x2 = 0 + 602

Reorder the terms:
-602 + 602 + 4x + x2 = 0 + 602

Combine like terms: -602 + 602 = 0
0 + 4x + x2 = 0 + 602
4x + x2 = 0 + 602

Combine like terms: 0 + 602 = 602
4x + x2 = 602

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 602 + 4

Reorder the terms:
4 + 4x + x2 = 602 + 4

Combine like terms: 602 + 4 = 606
4 + 4x + x2 = 606

Factor a perfect square on the left side:
(x + 2)(x + 2) = 606

Calculate the square root of the right side: 24.61706725

Break this problem into two subproblems by setting 
(x + 2) equal to 24.61706725 and -24.61706725.

Subproblem 1

x + 2 = 24.61706725 Simplifying x + 2 = 24.61706725 Reorder the terms: 2 + x = 24.61706725 Solving 2 + x = 24.61706725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 24.61706725 + -2 Combine like terms: 2 + -2 = 0 0 + x = 24.61706725 + -2 x = 24.61706725 + -2 Combine like terms: 24.61706725 + -2 = 22.61706725 x = 22.61706725 Simplifying x = 22.61706725

Subproblem 2

x + 2 = -24.61706725 Simplifying x + 2 = -24.61706725 Reorder the terms: 2 + x = -24.61706725 Solving 2 + x = -24.61706725 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -24.61706725 + -2 Combine like terms: 2 + -2 = 0 0 + x = -24.61706725 + -2 x = -24.61706725 + -2 Combine like terms: -24.61706725 + -2 = -26.61706725 x = -26.61706725 Simplifying x = -26.61706725

Solution

The solution to the problem is based on the solutions from the subproblems. x = {22.61706725, -26.61706725}

See similar equations:

| 5-2(2x+4)=5x-5(x-9) | | 2(5+3q)+4q=40 | | log(base)2(x^2-1x-8)=2 | | 2x+4(x+3)=5x-1 | | 3x+4=116 | | 35x^2=-36+72x | | 7n=63 | | 17x-2=7x-8 | | 7(2z+1)+3=80 | | 1000-50*2= | | p+12=19 | | 8x-7x+14=12-6 | | f(x)=10cos(12x)+4 | | 60=3y+2(y+5) | | 34=2(L+6.5) | | 3y+2y=55 | | x^2+4x+2=16 | | 11-6n-15=7n+28-5n | | 3+6t-(3t+5)-(5t+7)= | | 60x^3+148x^2+80x=0 | | 4x^2+88x+420=0 | | 3x-2x+14=13-3 | | 21a^2=-65a-24 | | -16x^2+44x+42=0 | | 8x+9x-4x-5=47 | | 9x-10=-55 | | -2(x+6)+5=3(x+5)+1 | | x+56x-888=0 | | 112x^3+34x^2-6x=0 | | 2*x^4+200*x^3+8200*x^2+440000*x+8000000=0 | | 7x^2+43x=-6 | | 7u^2-31u-20=0 |

Equations solver categories