(2x+14)(x+7)=90

Simple and best practice solution for (2x+14)(x+7)=90 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+14)(x+7)=90 equation: 


Simplifying
(2x + 14)(x + 7) = 90

Reorder the terms:
(14 + 2x)(x + 7) = 90

Reorder the terms:
(14 + 2x)(7 + x) = 90

Multiply (14 + 2x) * (7 + x)
(14(7 + x) + 2x * (7 + x)) = 90
((7 * 14 + x * 14) + 2x * (7 + x)) = 90
((98 + 14x) + 2x * (7 + x)) = 90
(98 + 14x + (7 * 2x + x * 2x)) = 90
(98 + 14x + (14x + 2x2)) = 90

Combine like terms: 14x + 14x = 28x
(98 + 28x + 2x2) = 90

Solving
98 + 28x + 2x2 = 90

Solving for variable 'x'.

Reorder the terms:
98 + -90 + 28x + 2x2 = 90 + -90

Combine like terms: 98 + -90 = 8
8 + 28x + 2x2 = 90 + -90

Combine like terms: 90 + -90 = 0
8 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 14x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 14x + x2)' equal to zero and attempt to solve:

Simplifying
4 + 14x + x2 = 0

Solving
4 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 14x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 14x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 14x + x2 = 0 + -4
14x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
14x + x2 = -4

The x term is 14x.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14x + 49 + x2 = -4 + 49

Reorder the terms:
49 + 14x + x2 = -4 + 49

Combine like terms: -4 + 49 = 45
49 + 14x + x2 = 45

Factor a perfect square on the left side:
(x + 7)(x + 7) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(x + 7) equal to 6.708203933 and -6.708203933.


Subproblem 1
x + 7 = 6.708203933

Simplifying
x + 7 = 6.708203933

Reorder the terms:
7 + x = 6.708203933

Solving
7 + x = 6.708203933

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x = 6.708203933 + -7

Combine like terms: 7 + -7 = 0
0 + x = 6.708203933 + -7
x = 6.708203933 + -7

Combine like terms: 6.708203933 + -7 = -0.291796067
x = -0.291796067

Simplifying
x = -0.291796067


Subproblem 2
x + 7 = -6.708203933

Simplifying
x + 7 = -6.708203933

Reorder the terms:
7 + x = -6.708203933

Solving
7 + x = -6.708203933

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + x = -6.708203933 + -7

Combine like terms: 7 + -7 = 0
0 + x = -6.708203933 + -7
x = -6.708203933 + -7

Combine like terms: -6.708203933 + -7 = -13.708203933
x = -13.708203933

Simplifying
x = -13.708203933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.291796067, -13.708203933}
Solution
x = {-0.291796067, -13.708203933}

See similar equations:

| 58.5-44.8=r | | 2n^2+12n-32=0 | | 6x^3-4x/x | | 6(5x-7)=-46 | | 33-5x=4x+9 | | 800/480 | | 24000+25x=37000 | | 6(5x-7)=46 | | 108/45 | | 36+x=(2+x)*4 | | 2(p-4)-5=-23 | | 168=60+2w | | 1.2x+7.2=1.2x+7.2 | | 38+x=(2+x)*4 | | y^2+9y-20=0 | | 5=2g-3.5 | | y=-2.096x^2-2.25+9.038 | | 5(x-2)=-2(12-9)+x | | 8(2+10)+z=98 | | 8y-8=5y+4 | | 2x+10=52+4x | | n(5-2)+8=17 | | 80=2l+14 | | 4(-1)+3y=-2 | | y=5.23+0.17x+0.3x | | 2x-5x+11=2-3+9 | | 15x^3x16x^12/12x^9 | | 10-5t-15=8t+16-6t | | -1x=-16 | | y/4=-12 | | (3u-8)(7-u)=0 | | p=20+8 |

Equations solver categories