x(x+2)=10x+140

Simple and best practice solution for x(x+2)=10x+140 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+2)=10x+140 equation:


Simplifying
x(x + 2) = 10x + 140

Reorder the terms:
x(2 + x) = 10x + 140
(2 * x + x * x) = 10x + 140
(2x + x2) = 10x + 140

Reorder the terms:
2x + x2 = 140 + 10x

Solving
2x + x2 = 140 + 10x

Solving for variable 'x'.

Reorder the terms:
-140 + 2x + -10x + x2 = 140 + 10x + -140 + -10x

Combine like terms: 2x + -10x = -8x
-140 + -8x + x2 = 140 + 10x + -140 + -10x

Reorder the terms:
-140 + -8x + x2 = 140 + -140 + 10x + -10x

Combine like terms: 140 + -140 = 0
-140 + -8x + x2 = 0 + 10x + -10x
-140 + -8x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-140 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '140' to each side of the equation.
-140 + -8x + 140 + x2 = 0 + 140

Reorder the terms:
-140 + 140 + -8x + x2 = 0 + 140

Combine like terms: -140 + 140 = 0
0 + -8x + x2 = 0 + 140
-8x + x2 = 0 + 140

Combine like terms: 0 + 140 = 140
-8x + x2 = 140

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 140 + 16

Reorder the terms:
16 + -8x + x2 = 140 + 16

Combine like terms: 140 + 16 = 156
16 + -8x + x2 = 156

Factor a perfect square on the left side:
(x + -4)(x + -4) = 156

Calculate the square root of the right side: 12.489995997

Break this problem into two subproblems by setting 
(x + -4) equal to 12.489995997 and -12.489995997.

Subproblem 1

x + -4 = 12.489995997 Simplifying x + -4 = 12.489995997 Reorder the terms: -4 + x = 12.489995997 Solving -4 + x = 12.489995997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 12.489995997 + 4 Combine like terms: -4 + 4 = 0 0 + x = 12.489995997 + 4 x = 12.489995997 + 4 Combine like terms: 12.489995997 + 4 = 16.489995997 x = 16.489995997 Simplifying x = 16.489995997

Subproblem 2

x + -4 = -12.489995997 Simplifying x + -4 = -12.489995997 Reorder the terms: -4 + x = -12.489995997 Solving -4 + x = -12.489995997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -12.489995997 + 4 Combine like terms: -4 + 4 = 0 0 + x = -12.489995997 + 4 x = -12.489995997 + 4 Combine like terms: -12.489995997 + 4 = -8.489995997 x = -8.489995997 Simplifying x = -8.489995997

Solution

The solution to the problem is based on the solutions from the subproblems. x = {16.489995997, -8.489995997}

See similar equations:

| 90+x=360 | | 45+2x+3x=4x+7x+15 | | 12x-2x+56=12x+32 | | (-5+1)(25x^2+5x+1)= | | C=3/4 | | X=82 | | (X+6)(X+6)=33 | | X-24=54 | | 2tanx=3+cotx | | 108+x=360 | | 45+x=360 | | 109+-3=73 | | 145+x=360 | | 170+x=360 | | 13x-8=2+5x | | -58=-2y | | -x^2-(k+7)*x-8=-(x-2)*(x-4) | | 3ax+6-4(x-b)=11b+14 | | -x^2-(k-7)=0 | | 5x+6(-2x+13)=1 | | x^2+y^2-12x+16y+100=0 | | 9y-11=43 | | 6x^2+1=25 | | X+x+2x+7+7=5+5+3x+3x | | x^2+y^2-12x+16y+200=0 | | 0.8(x+1)=2x+1 | | -32t^2-48t-24=0 | | 1/10=.13 | | 7(x-3)=-21+7 | | 7x+(x-12)=180 | | 4.1(x-2.70)=254.2 | | 3x+3x+12=2x+2x+10+10 |

Equations solver categories