(2x+7)(x-7)=4x+14

Simple and best practice solution for (2x+7)(x-7)=4x+14 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+7)(x-7)=4x+14 equation: 


Simplifying
(2x + 7)(x + -7) = 4x + 14

Reorder the terms:
(7 + 2x)(x + -7) = 4x + 14

Reorder the terms:
(7 + 2x)(-7 + x) = 4x + 14

Multiply (7 + 2x) * (-7 + x)
(7(-7 + x) + 2x * (-7 + x)) = 4x + 14
((-7 * 7 + x * 7) + 2x * (-7 + x)) = 4x + 14
((-49 + 7x) + 2x * (-7 + x)) = 4x + 14
(-49 + 7x + (-7 * 2x + x * 2x)) = 4x + 14
(-49 + 7x + (-14x + 2x2)) = 4x + 14

Combine like terms: 7x + -14x = -7x
(-49 + -7x + 2x2) = 4x + 14

Reorder the terms:
-49 + -7x + 2x2 = 14 + 4x

Solving
-49 + -7x + 2x2 = 14 + 4x

Solving for variable 'x'.

Reorder the terms:
-49 + -14 + -7x + -4x + 2x2 = 14 + 4x + -14 + -4x

Combine like terms: -49 + -14 = -63
-63 + -7x + -4x + 2x2 = 14 + 4x + -14 + -4x

Combine like terms: -7x + -4x = -11x
-63 + -11x + 2x2 = 14 + 4x + -14 + -4x

Reorder the terms:
-63 + -11x + 2x2 = 14 + -14 + 4x + -4x

Combine like terms: 14 + -14 = 0
-63 + -11x + 2x2 = 0 + 4x + -4x
-63 + -11x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-63 + -11x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(9 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

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

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

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-3.5, 9}

See similar equations:

| 3x^2+4x-18=0 | | 12x-X^2=20 | | x-3x=6 | | 9m=2 | | -7-3x=13-7x | | x^9=8 | | y-64=36 | | 12x-49=6x+1 | | 96-c=49 | | 8x=-13 | | 30b^2-19b-63=0 | | 25=y+3x | | 5x-17=x+7 | | 1+3x=-x+4 | | x^2-82x+8=0 | | 12x+5=21x+7 | | -5=9x^4-8x^2+9x-5 | | 42a^2-17a-15=0 | | 5m+1=31 | | 3x+7x=16 | | (X-9)(x+5)=0 | | 2.9p=14.5 | | 72-x=x^2 | | 19m=2 | | 20b=-100 | | x^2+3x-15=0 | | n-10=20 | | x+13=-10 | | z+32=-6 | | 2+z=3-4 | | m-7=5 | | -12a=72 |

Equations solver categories