2x(x+7)+9=180

Simple and best practice solution for 2x(x+7)+9=180 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 2x(x+7)+9=180 equation:


Simplifying
2x(x + 7) + 9 = 180

Reorder the terms:
2x(7 + x) + 9 = 180
(7 * 2x + x * 2x) + 9 = 180
(14x + 2x2) + 9 = 180

Reorder the terms:
9 + 14x + 2x2 = 180

Solving
9 + 14x + 2x2 = 180

Solving for variable 'x'.

Reorder the terms:
9 + -180 + 14x + 2x2 = 180 + -180

Combine like terms: 9 + -180 = -171
-171 + 14x + 2x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-171 + 14x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-85.5 + 7x + x2 = 0

Move the constant term to the right:

Add '85.5' to each side of the equation.
-85.5 + 7x + 85.5 + x2 = 0 + 85.5

Reorder the terms:
-85.5 + 85.5 + 7x + x2 = 0 + 85.5

Combine like terms: -85.5 + 85.5 = 0.0
0.0 + 7x + x2 = 0 + 85.5
7x + x2 = 0 + 85.5

Combine like terms: 0 + 85.5 = 85.5
7x + x2 = 85.5

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 85.5 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 85.5 + 12.25

Combine like terms: 85.5 + 12.25 = 97.75
12.25 + 7x + x2 = 97.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 97.75

Calculate the square root of the right side: 9.886859967

Break this problem into two subproblems by setting 
(x + 3.5) equal to 9.886859967 and -9.886859967.

Subproblem 1

x + 3.5 = 9.886859967 Simplifying x + 3.5 = 9.886859967 Reorder the terms: 3.5 + x = 9.886859967 Solving 3.5 + x = 9.886859967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 9.886859967 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 9.886859967 + -3.5 x = 9.886859967 + -3.5 Combine like terms: 9.886859967 + -3.5 = 6.386859967 x = 6.386859967 Simplifying x = 6.386859967

Subproblem 2

x + 3.5 = -9.886859967 Simplifying x + 3.5 = -9.886859967 Reorder the terms: 3.5 + x = -9.886859967 Solving 3.5 + x = -9.886859967 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -9.886859967 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -9.886859967 + -3.5 x = -9.886859967 + -3.5 Combine like terms: -9.886859967 + -3.5 = -13.386859967 x = -13.386859967 Simplifying x = -13.386859967

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.386859967, -13.386859967}

See similar equations:

| (y-6)(y-4)= | | f(x)=3x-2x^2+3 | | -6y+24-6y+9=-y+5+5y | | 5x^2+15=51 | | m+m+6+(m+6)*3=89 | | 2+3x+5x=18+5 | | 3e-6=-2e-4-7 | | 9k^2-12-1=0 | | 2+3x+5=18+5 | | f(x)=3x^2-6x+2 | | -11.2+8.4+4q=-0.08 | | 6a+8=-2a+8 | | 390-60x=578-100x | | 23-14=3(x-1) | | .87x=.5x+.75x | | 1/8*8/37= | | 2/3x-3/2x-1=5/6 | | 500=200(1+x) | | 500=200(1+x)5 | | 3/8x-50 | | 2-20/5x3 | | -(5x-11)+4(5x+7)= | | 6x^2-12=-2x | | 5x^2/x^3-x^3 | | 3z+2(-5z)+6= | | (3m-4)(2m+5)=0 | | 4+ln(x+3)=3 | | 8z-0.6=9z | | 5y-6=6y-1 | | -5j+(-2)+3= | | y--9=3/4(x-5) | | 2z+6=4z-3 |

Equations solver categories