(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.
(-5 + -2x)(1 + -2x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-2.5, 0.5}

See similar equations:

| 9(8d-5)+5+13=12d-2 | | 5e(2x+1)=20 | | 112x-2x^2=1368 | | 5e^2x-1=20 | | 12x^2+26x+10= | | 2lnx=6.8 | | (x+3)(x+4)=30 | | (2t-3)(t+2)=0 | | (x+11)(4x+9)= | | 9a-b+4(2a-a)= | | (2x+1)(2x+1)=16 | | 1700^2-8.5%*9 | | -x+5y=19 | | X(x-17)=-72 | | e=m | | 2*(ln)x=6.8 | | x^2-4x=-9x+24 | | x(3)=39 | | Y=6-2(1) | | 2*lnx=6.8 | | 2*ln(x)=6.8 | | 2x^2+16x+64=88 | | 3t^2-19t=-6 | | 10-4x=32 | | 6.5x-12+1.5-6=10 | | 7x+2y=100 | | 26-x=6 | | (5/2y)-(4/y)=(1/2) | | 7x-5y=9findy | | C=15+4(8) | | 4a^2-19a-5=0 | | C=15+4(9) |

Equations solver categories