(2x+3)(2x-7)=-16

Simple and best practice solution for (2x+3)(2x-7)=-16 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+3)(2x-7)=-16 equation: 


Simplifying
(2x + 3)(2x + -7) = -16

Reorder the terms:
(3 + 2x)(2x + -7) = -16

Reorder the terms:
(3 + 2x)(-7 + 2x) = -16

Multiply (3 + 2x) * (-7 + 2x)
(3(-7 + 2x) + 2x * (-7 + 2x)) = -16
((-7 * 3 + 2x * 3) + 2x * (-7 + 2x)) = -16
((-21 + 6x) + 2x * (-7 + 2x)) = -16
(-21 + 6x + (-7 * 2x + 2x * 2x)) = -16
(-21 + 6x + (-14x + 4x2)) = -16

Combine like terms: 6x + -14x = -8x
(-21 + -8x + 4x2) = -16

Solving
-21 + -8x + 4x2 = -16

Solving for variable 'x'.

Reorder the terms:
-21 + 16 + -8x + 4x2 = -16 + 16

Combine like terms: -21 + 16 = -5
-5 + -8x + 4x2 = -16 + 16

Combine like terms: -16 + 16 = 0
-5 + -8x + 4x2 = 0

Factor a trinomial.
(-1 + -2x)(5 + -2x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-0.5, 2.5}

See similar equations:

| 4n^2+-11n=11 | | X^2+2xy-2y-1=0 | | 3-2i/4-5i | | 4x-13=-9-13x | | 4n-11n=11 | | Log(13x+2)=1+log(x+8) | | 143-p^2=0 | | x-12=x/5 | | 0.7x+(x-3)=0.2x+3 | | X^2+2xy-2xy-1=0 | | 1.6*-1/0.8 | | 6x-14=10-2x | | 3x+2y-4x+5y= | | 3(z-2)=7z+4 | | -0.8t^2+8t-19.2=0 | | 27a^6b/45a^3b^4 | | 3(a-2)=6(a+4)-2a | | 5/(3x^2-5) | | 6k^2=-2k+17 | | 5/3x^2-5 | | 4r-5(r-5)= | | -0.8t+8t-19.2=0 | | 4x-12=6+3x | | 2x+12=5x+5 | | 7(x+8)=-6 | | 3(a-1)=66 | | 2x+1+7x= | | 6(-5-5)=-3 | | y=4x^2+2x^3 | | (q-3)*4=28 | | 5n-14=8n-23 | | 14x-4(x-9)+15=-5(x-6)-9 |

Equations solver categories