x(x-5)=7x-1

Simple and best practice solution for x(x-5)=7x-1 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-5)=7x-1 equation:


Simplifying
x(x + -5) = 7x + -1

Reorder the terms:
x(-5 + x) = 7x + -1
(-5 * x + x * x) = 7x + -1
(-5x + x2) = 7x + -1

Reorder the terms:
-5x + x2 = -1 + 7x

Solving
-5x + x2 = -1 + 7x

Solving for variable 'x'.

Reorder the terms:
1 + -5x + -7x + x2 = -1 + 7x + 1 + -7x

Combine like terms: -5x + -7x = -12x
1 + -12x + x2 = -1 + 7x + 1 + -7x

Reorder the terms:
1 + -12x + x2 = -1 + 1 + 7x + -7x

Combine like terms: -1 + 1 = 0
1 + -12x + x2 = 0 + 7x + -7x
1 + -12x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -12x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -12x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12x + x2 = 0 + -1
-12x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-12x + x2 = -1

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -1 + 36

Reorder the terms:
36 + -12x + x2 = -1 + 36

Combine like terms: -1 + 36 = 35
36 + -12x + x2 = 35

Factor a perfect square on the left side:
(x + -6)(x + -6) = 35

Calculate the square root of the right side: 5.916079783

Break this problem into two subproblems by setting 
(x + -6) equal to 5.916079783 and -5.916079783.

Subproblem 1

x + -6 = 5.916079783 Simplifying x + -6 = 5.916079783 Reorder the terms: -6 + x = 5.916079783 Solving -6 + x = 5.916079783 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 5.916079783 + 6 Combine like terms: -6 + 6 = 0 0 + x = 5.916079783 + 6 x = 5.916079783 + 6 Combine like terms: 5.916079783 + 6 = 11.916079783 x = 11.916079783 Simplifying x = 11.916079783

Subproblem 2

x + -6 = -5.916079783 Simplifying x + -6 = -5.916079783 Reorder the terms: -6 + x = -5.916079783 Solving -6 + x = -5.916079783 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = -5.916079783 + 6 Combine like terms: -6 + 6 = 0 0 + x = -5.916079783 + 6 x = -5.916079783 + 6 Combine like terms: -5.916079783 + 6 = 0.083920217 x = 0.083920217 Simplifying x = 0.083920217

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.916079783, 0.083920217}

See similar equations:

| 4(x-6)+15=3(x-2) | | -7y-36=1 | | (64x+45y)-(21x-20y)= | | 72-6x=3x | | 6+6x=12x-36 | | D=7MI | | 5*-2=2x+7 | | (43x+68y)+(-19x+36y)= | | 12*(-1/6) | | 7x-4x=2x-1 | | 9=9(x-4) | | -3y-4(8)=-11 | | tan27=x/4.1 | | d-(0.29)d= | | (4x*x-9)/(2x*x-9x-18) | | 1.5*a*1.5a=135000 | | 2x-8=-8x+12 | | 7x-10=12x+19 | | P(X)=x^3-4x^2+x+6 | | 4-3x=7-2(3-x) | | (44x+70y)+(39x-16y)= | | 6(1+9x)+14= | | x+384+x=2512 | | 6v^2-5v-4=0 | | (40x+66y)+(-25x+49y)= | | 4x^2+6n=108 | | (2x+2)+(17-2x)= | | 3y=5y-56 | | 188=m+8 | | 4w+15=63 | | -108=8(2y-2) | | X+X+97+1158= |

Equations solver categories