x(x+25)+(x-37)=126

Simple and best practice solution for x(x+25)+(x-37)=126 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(x+25)+(x-37)=126 equation:


Simplifying
x(x + 25) + (x + -37) = 126

Reorder the terms:
x(25 + x) + (x + -37) = 126
(25 * x + x * x) + (x + -37) = 126
(25x + x2) + (x + -37) = 126

Reorder the terms:
25x + x2 + (-37 + x) = 126

Remove parenthesis around (-37 + x)
25x + x2 + -37 + x = 126

Reorder the terms:
-37 + 25x + x + x2 = 126

Combine like terms: 25x + x = 26x
-37 + 26x + x2 = 126

Solving
-37 + 26x + x2 = 126

Solving for variable 'x'.

Reorder the terms:
-37 + -126 + 26x + x2 = 126 + -126

Combine like terms: -37 + -126 = -163
-163 + 26x + x2 = 126 + -126

Combine like terms: 126 + -126 = 0
-163 + 26x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '163' to each side of the equation.
-163 + 26x + 163 + x2 = 0 + 163

Reorder the terms:
-163 + 163 + 26x + x2 = 0 + 163

Combine like terms: -163 + 163 = 0
0 + 26x + x2 = 0 + 163
26x + x2 = 0 + 163

Combine like terms: 0 + 163 = 163
26x + x2 = 163

The x term is 26x.  Take half its coefficient (13).
Square it (169) and add it to both sides.

Add '169' to each side of the equation.
26x + 169 + x2 = 163 + 169

Reorder the terms:
169 + 26x + x2 = 163 + 169

Combine like terms: 163 + 169 = 332
169 + 26x + x2 = 332

Factor a perfect square on the left side:
(x + 13)(x + 13) = 332

Calculate the square root of the right side: 18.220867158

Break this problem into two subproblems by setting 
(x + 13) equal to 18.220867158 and -18.220867158.

Subproblem 1

x + 13 = 18.220867158 Simplifying x + 13 = 18.220867158 Reorder the terms: 13 + x = 18.220867158 Solving 13 + x = 18.220867158 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 18.220867158 + -13 Combine like terms: 13 + -13 = 0 0 + x = 18.220867158 + -13 x = 18.220867158 + -13 Combine like terms: 18.220867158 + -13 = 5.220867158 x = 5.220867158 Simplifying x = 5.220867158

Subproblem 2

x + 13 = -18.220867158 Simplifying x + 13 = -18.220867158 Reorder the terms: 13 + x = -18.220867158 Solving 13 + x = -18.220867158 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = -18.220867158 + -13 Combine like terms: 13 + -13 = 0 0 + x = -18.220867158 + -13 x = -18.220867158 + -13 Combine like terms: -18.220867158 + -13 = -31.220867158 x = -31.220867158 Simplifying x = -31.220867158

Solution

The solution to the problem is based on the solutions from the subproblems. x = {5.220867158, -31.220867158}

See similar equations:

| .680=.5*9.8*t^2 | | .780=.5*9.8*t^2 | | 5x+16-4x=-3-10 | | 5(t+2)=2(t+23) | | 11(t-7)=8(t-4) | | 5x+16=-3-10 | | 400=-100*12+b | | 6(a-2)-(a+1)=2a+6 | | 9(t-5)=5(t+3) | | 2(15+-3y)-3y=-6 | | 8x^2-16x+5=0 | | 163-x+101-x=126 | | 20x-5x^2=0 | | 12z+5=3z+41 | | 3b+4=b+8 | | 9(5h+5)=495 | | x(163+101)=126 | | .878=.5*9.8*t^2 | | -2+4=-3+11x | | 9z-40=3z-10 | | x-64=126 | | x+64=126 | | -7*0=-2+-7x | | 8z-3=2z+21 | | x-138=126 | | x+138=126 | | 5x+7=-33-5x | | x(138-x)=126 | | 5+8p=83 | | x+25=163 | | x-37=101 | | 4000=60000/t-11 |

Equations solver categories