(4x-8)(4x-8)=16

Simple and best practice solution for (4x-8)(4x-8)=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 (4x-8)(4x-8)=16 equation:


Simplifying
(4x + -8)(4x + -8) = 16

Reorder the terms:
(-8 + 4x)(4x + -8) = 16

Reorder the terms:
(-8 + 4x)(-8 + 4x) = 16

Multiply (-8 + 4x) * (-8 + 4x)
(-8(-8 + 4x) + 4x * (-8 + 4x)) = 16
((-8 * -8 + 4x * -8) + 4x * (-8 + 4x)) = 16
((64 + -32x) + 4x * (-8 + 4x)) = 16
(64 + -32x + (-8 * 4x + 4x * 4x)) = 16
(64 + -32x + (-32x + 16x2)) = 16

Combine like terms: -32x + -32x = -64x
(64 + -64x + 16x2) = 16

Solving
64 + -64x + 16x2 = 16

Solving for variable 'x'.

Reorder the terms:
64 + -16 + -64x + 16x2 = 16 + -16

Combine like terms: 64 + -16 = 48
48 + -64x + 16x2 = 16 + -16

Combine like terms: 16 + -16 = 0
48 + -64x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(3 + -4x + x2) = 0

Factor a trinomial.
16((1 + -1x)(3 + -1x)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {1, 3}

See similar equations:

| 2.7x-25=1.2+5 | | d/dx(8-5x^2)^7 | | 42+4y=10 | | 10x+10=4x-7 | | 7-1*0= | | 7x+x=3x+3x+5x | | 0.03x+0.10(200-x)=0.43 | | 1/3•3/1 | | 7(5-2t)=11t-5 | | Tanx-13=0 | | 33+7x=9x-4 | | 12/2x-5=4 | | 2+x=49 | | 15/2-2/1 | | (8a-9)(8a-9)= | | (X^3/4)^12 | | .10x=8 | | .13x=35 | | 37*x=.13 | | 128=-16t^2+144t | | 2(x^2+4x+4)-32=0 | | 6/5times-2 | | 6/5•-2 | | y^2+3y+45=0 | | 5y^2+12y+180=0 | | y=2.4x(1-x) | | 6/9-8i= | | (6a+7)(4a^2+7a+7)= | | 2a-4+a-5-3a= | | (18x-8)=4x+16 | | (1.3)=x+2.1 | | 4=mx+d |

Equations solver categories