2x^2+23x+63=(x+7)(x+7)

Simple and best practice solution for 2x^2+23x+63=(x+7)(x+7) 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^2+23x+63=(x+7)(x+7) equation: 


Simplifying
2x2 + 23x + 63 = (x + 7)(x + 7)

Reorder the terms:
63 + 23x + 2x2 = (x + 7)(x + 7)

Reorder the terms:
63 + 23x + 2x2 = (7 + x)(x + 7)

Reorder the terms:
63 + 23x + 2x2 = (7 + x)(7 + x)

Multiply (7 + x) * (7 + x)
63 + 23x + 2x2 = (7(7 + x) + x(7 + x))
63 + 23x + 2x2 = ((7 * 7 + x * 7) + x(7 + x))
63 + 23x + 2x2 = ((49 + 7x) + x(7 + x))
63 + 23x + 2x2 = (49 + 7x + (7 * x + x * x))
63 + 23x + 2x2 = (49 + 7x + (7x + x2))

Combine like terms: 7x + 7x = 14x
63 + 23x + 2x2 = (49 + 14x + x2)

Solving
63 + 23x + 2x2 = 49 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
63 + -49 + 23x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 63 + -49 = 14
14 + 23x + -14x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 23x + -14x = 9x
14 + 9x + 2x2 + -1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
14 + 9x + 1x2 = 49 + 14x + x2 + -49 + -14x + -1x2

Reorder the terms:
14 + 9x + 1x2 = 49 + -49 + 14x + -14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
14 + 9x + 1x2 = 0 + 14x + -14x + x2 + -1x2
14 + 9x + 1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
14 + 9x + 1x2 = 0 + x2 + -1x2
14 + 9x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14 + 9x + 1x2 = 0

Factor a trinomial.
(7 + x)(2 + x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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 = 0 + -7

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

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

Simplifying
x = -7

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-7, -2}

See similar equations:

| 112=5(3n+2)3 | | -5t-7=t-145 | | 0/-4 | | 2x^2+23x+63=(x+7) | | (2+I)/(1-I) | | 8z-z=-2+3z-1-9 | | m/3=9 | | 6x^2-10=218 | | 10+11x=40+1 | | 2/3=y-1/3 | | 3x^2-10=203 | | 16x^2+10=46 | | 15=2y-f | | 9x^2-7=893 | | y=1/4(-8) | | 2.6x=5.46 | | 2x^2+4=14 | | 4x^2+7=27 | | 99.63=41.36 | | 1/8x-1/2 | | 99.3=41.36 | | -4y=-x-138 | | 2/7x=-4 | | -2+4=-10 | | 8.3c=-163.51 | | x=4y-138 | | 9x^2-8x-5=0 | | 8m=4(6m+24) | | 7x-6y=-12 | | -6y-8=y-183 | | 3.9i=4.77 | | 1/4+4/x=5/12 |

Equations solver categories