2(4x-5)(4x+3)=0

Simple and best practice solution for 2(4x-5)(4x+3)=0 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 2(4x-5)(4x+3)=0 equation: 


Simplifying
2(4x + -5)(4x + 3) = 0

Reorder the terms:
2(-5 + 4x)(4x + 3) = 0

Reorder the terms:
2(-5 + 4x)(3 + 4x) = 0

Multiply (-5 + 4x) * (3 + 4x)
2(-5(3 + 4x) + 4x * (3 + 4x)) = 0
2((3 * -5 + 4x * -5) + 4x * (3 + 4x)) = 0
2((-15 + -20x) + 4x * (3 + 4x)) = 0
2(-15 + -20x + (3 * 4x + 4x * 4x)) = 0
2(-15 + -20x + (12x + 16x2)) = 0

Combine like terms: -20x + 12x = -8x
2(-15 + -8x + 16x2) = 0
(-15 * 2 + -8x * 2 + 16x2 * 2) = 0
(-30 + -16x + 32x2) = 0

Solving
-30 + -16x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -8x + 16x2) = 0

Factor a trinomial.
2((-3 + -4x)(5 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve:

Simplifying
-3 + -4x = 0

Solving
-3 + -4x = 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 + -4x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = 0 + 3
-4x = 0 + 3

Combine like terms: 0 + 3 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

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

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

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.75, 1.25}

See similar equations:

| 9x+5-3x-3=32 | | 10x+15=10x+15 | | 0.25x+x=4000 | | (8x+51)= | | x^2-5*x+12=0.5 | | f(x)=x^4-8x^3 | | 3*x+22=99 | | (x-4)/2=9 | | x^2-3*x-8=1 | | 18a^2b^3= | | 78-2x=16x+20 | | x^2-3*x+8=1 | | x^2-3*x-8=0 | | 4(x-7)(5x+9)=0 | | 13+x=6 | | x^2-3*x+8=0 | | 7x+x=x+7 | | 14-7x=31-14x | | h=16t^2+8t+240 | | X/9+2=8 | | 12-3x=6-x | | 146-4x=32x+22 | | 5y^2-3y=2 | | 6x+9+1=4x-8 | | 3456,4.4/= | | x^2-7x+16=x+1 | | 2. 2(7-x)+4x=20 | | .05x+.25x+.50(2x-1)=2.60 | | 25=2a-7 | | x^2=24x-144 | | 7x1/8 | | 4a=(1/64) |

Equations solver categories