(5x+4)(5x+4)=64

Simple and best practice solution for (5x+4)(5x+4)=64 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 (5x+4)(5x+4)=64 equation: 


Simplifying
(5x + 4)(5x + 4) = 64

Reorder the terms:
(4 + 5x)(5x + 4) = 64

Reorder the terms:
(4 + 5x)(4 + 5x) = 64

Multiply (4 + 5x) * (4 + 5x)
(4(4 + 5x) + 5x * (4 + 5x)) = 64
((4 * 4 + 5x * 4) + 5x * (4 + 5x)) = 64
((16 + 20x) + 5x * (4 + 5x)) = 64
(16 + 20x + (4 * 5x + 5x * 5x)) = 64
(16 + 20x + (20x + 25x2)) = 64

Combine like terms: 20x + 20x = 40x
(16 + 40x + 25x2) = 64

Solving
16 + 40x + 25x2 = 64

Solving for variable 'x'.

Reorder the terms:
16 + -64 + 40x + 25x2 = 64 + -64

Combine like terms: 16 + -64 = -48
-48 + 40x + 25x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-48 + 40x + 25x2 = 0

Factor a trinomial.
(-12 + -5x)(4 + -5x) = 0


Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-2.4, 0.8}

See similar equations:

| m/3+m/4-1=5/2 | | 5(5x+9)=-1(x-7) | | 0.25(7+3m)=0.125m | | 7m-12=24 | | 3*-18= | | x-5.8=-1.3 | | x^3-6x^2+11x=6 | | 3(-1)=-y+2 | | 132=6-24r+10r | | x(9x+6)=4x^2-11x+12 | | 6(3-z)/5=-z | | -(5x^2)-(10x)-20=0 | | 130=-20m+90 | | 2(8c+3)= | | (5x^2)-(10x)-20=0 | | -2x+4+3x+6=2x | | 165-4x=23x+18 | | 3c(7c+4)=0 | | D-5=-8 | | 7c-.66=.50 | | 0=-x^2+x+20 | | x-8=3x+20/7 | | 5y-3+2y=y+15 | | -8a+40=11-11a | | (-4/5)w+(1/4)=(1/5)+(1/3)w | | 4n-4=-4 | | 5z+10=0 | | -7y-3=18 | | 4x^2+0.2x-9=0 | | 3x+3(1-x)-x=-6 | | 3.00+1.00x= | | V-6=19v-6 |

Equations solver categories