x^2+14x=350

Simple and best practice solution for x^2+14x=350 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+14x=350 equation:


Simplifying
x2 + 14x = 350

Reorder the terms:
14x + x2 = 350

Solving
14x + x2 = 350

Solving for variable 'x'.

Reorder the terms:
-350 + 14x + x2 = 350 + -350

Combine like terms: 350 + -350 = 0
-350 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '350' to each side of the equation.
-350 + 14x + 350 + x2 = 0 + 350

Reorder the terms:
-350 + 350 + 14x + x2 = 0 + 350

Combine like terms: -350 + 350 = 0
0 + 14x + x2 = 0 + 350
14x + x2 = 0 + 350

Combine like terms: 0 + 350 = 350
14x + x2 = 350

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = 350 + 49

Reorder the terms:
49 + 14x + x2 = 350 + 49

Combine like terms: 350 + 49 = 399
49 + 14x + x2 = 399

Factor a perfect square on the left side:
(x + 7)(x + 7) = 399

Calculate the square root of the right side: 19.974984355

Break this problem into two subproblems by setting 
(x + 7) equal to 19.974984355 and -19.974984355.

Subproblem 1

x + 7 = 19.974984355 Simplifying x + 7 = 19.974984355 Reorder the terms: 7 + x = 19.974984355 Solving 7 + x = 19.974984355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 19.974984355 + -7 Combine like terms: 7 + -7 = 0 0 + x = 19.974984355 + -7 x = 19.974984355 + -7 Combine like terms: 19.974984355 + -7 = 12.974984355 x = 12.974984355 Simplifying x = 12.974984355

Subproblem 2

x + 7 = -19.974984355 Simplifying x + 7 = -19.974984355 Reorder the terms: 7 + x = -19.974984355 Solving 7 + x = -19.974984355 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = -19.974984355 + -7 Combine like terms: 7 + -7 = 0 0 + x = -19.974984355 + -7 x = -19.974984355 + -7 Combine like terms: -19.974984355 + -7 = -26.974984355 x = -26.974984355 Simplifying x = -26.974984355

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.974984355, -26.974984355}

See similar equations:

| 4(p+8)=20 | | 5a-9=-3a+7 | | ln(3x-11)=5 | | -119=7-3(2-8x) | | 4(x-7)+8=-20 | | -119=7-3(2-8x)8 | | -6(2b+3)+(13b-7)=0 | | 5a-9=(-3a+7)5a | | (7+1)9= | | 12.5=t/n | | 2+3.5g=5+3.25g | | 2hx+h+3x+3=0 | | 8/9x-7=49 | | 4t+(-28)=44 | | 8t-5=6t+1 | | (7x^5)-(70x^4)+(175x^3)=0 | | 5/14*49=c | | -27-3x=15 | | -7nh=98n | | 4+13w=-8w+4 | | 6(y+3)=5+5y | | -2(-c-12)=-2a-12 | | 8=8p+1 | | 4c=-20 | | 120=4x+24 | | (a/4)-21=7 | | 24-26= | | 2+4y-y-9=26 | | 34/54=2x/6 | | v/7+5.2=-12.3 | | 3(3n+3)-9=6n | | -2=v/4+2 |

Equations solver categories