x^2-9x+7x-63=25

Simple and best practice solution for x^2-9x+7x-63=25 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^2-9x+7x-63=25 equation:


Simplifying
x2 + -9x + 7x + -63 = 25

Reorder the terms:
-63 + -9x + 7x + x2 = 25

Combine like terms: -9x + 7x = -2x
-63 + -2x + x2 = 25

Solving
-63 + -2x + x2 = 25

Solving for variable 'x'.

Reorder the terms:
-63 + -25 + -2x + x2 = 25 + -25

Combine like terms: -63 + -25 = -88
-88 + -2x + x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-88 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '88' to each side of the equation.
-88 + -2x + 88 + x2 = 0 + 88

Reorder the terms:
-88 + 88 + -2x + x2 = 0 + 88

Combine like terms: -88 + 88 = 0
0 + -2x + x2 = 0 + 88
-2x + x2 = 0 + 88

Combine like terms: 0 + 88 = 88
-2x + x2 = 88

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = 88 + 1

Reorder the terms:
1 + -2x + x2 = 88 + 1

Combine like terms: 88 + 1 = 89
1 + -2x + x2 = 89

Factor a perfect square on the left side:
(x + -1)(x + -1) = 89

Calculate the square root of the right side: 9.433981132

Break this problem into two subproblems by setting 
(x + -1) equal to 9.433981132 and -9.433981132.

Subproblem 1

x + -1 = 9.433981132 Simplifying x + -1 = 9.433981132 Reorder the terms: -1 + x = 9.433981132 Solving -1 + x = 9.433981132 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 9.433981132 + 1 Combine like terms: -1 + 1 = 0 0 + x = 9.433981132 + 1 x = 9.433981132 + 1 Combine like terms: 9.433981132 + 1 = 10.433981132 x = 10.433981132 Simplifying x = 10.433981132

Subproblem 2

x + -1 = -9.433981132 Simplifying x + -1 = -9.433981132 Reorder the terms: -1 + x = -9.433981132 Solving -1 + x = -9.433981132 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -9.433981132 + 1 Combine like terms: -1 + 1 = 0 0 + x = -9.433981132 + 1 x = -9.433981132 + 1 Combine like terms: -9.433981132 + 1 = -8.433981132 x = -8.433981132 Simplifying x = -8.433981132

Solution

The solution to the problem is based on the solutions from the subproblems. x = {10.433981132, -8.433981132}

See similar equations:

| 3/4x+2=-7/4 | | -3+7x=-7 | | 6x^2-17x+3=0 | | x/11-9x/11=32/11 | | 4/7x+2=-3/7x-8 | | 2/7x-7=11 | | 2X-6X+8=0 | | 2u^2-3u-9=0 | | 5/2x+1/4+x | | 1/3x+2-1/4x=3 | | 3x-9=1x-4 | | 8x-(6x-5)=5 | | 4b+2+7b+3-2b= | | -4+6(7-8m)=326 | | 4y+7+3y-3-y= | | 2x^2-19x-9=0 | | .75(4x-8)=15 | | -4+6(7-8m)=36 | | x(2x-4)=11 | | 3+12+5x-7-3x= | | 2/5*3/8 | | 1/5(20x-5)=4(x+1) | | x^2-19x=28 | | 0.11-0.01(x+1)=0.02(4-x) | | 5y-13=52 | | 21*2= | | 9X+4/22=4 | | 10-(9-x)=3+2x | | 1/6*1 | | (x/(x-2))=(2/(x-2))-(2/3) | | 4x+-7=6 | | (4*32)-(19/3) |

Equations solver categories