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

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


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

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

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

Multiply (2 + x) * (-3 + 4x)
2(2(-3 + 4x) + x(-3 + 4x)) = 0
2((-3 * 2 + 4x * 2) + x(-3 + 4x)) = 0
2((-6 + 8x) + x(-3 + 4x)) = 0
2(-6 + 8x + (-3 * x + 4x * x)) = 0
2(-6 + 8x + (-3x + 4x2)) = 0

Combine like terms: 8x + -3x = 5x
2(-6 + 5x + 4x2) = 0
(-6 * 2 + 5x * 2 + 4x2 * 2) = 0
(-12 + 10x + 8x2) = 0

Solving
-12 + 10x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5x + 4x2) = 0

Factor a trinomial.
2((-2 + -1x)(3 + -4x)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 0.75}

See similar equations:

| x-(0.08*x)=y | | 3.5x+52.8=11.6-6.8x | | 4t+2= | | 3.3+0.7= | | 6sec^2x-24=0 | | 25+z=30 | | 8.5-7= | | 4x^2-23x-500=0 | | 7.2+1.8= | | C^2=225 | | 5m+5=42 | | -108a^2+147=0 | | 8+4(s-12t)= | | x(9+10x)=40 | | 3g+8=-2g-17 | | x^5-7x^3-18=0 | | 7x-4=4+8x | | 123.48+165.18+137.80+140.92= | | -2+4=-2(x+3) | | -5(5y-9)+4(3y+5)= | | -25+y=-34 | | x-(0.08*x)=8900 | | -9x-21=34-x | | 3w^2+11w=77 | | 2(6w-5)=3(4w-2)-6 | | Y+0.055x^2=1.925x | | 3w^2-11=77 | | 4x+20=5x-15 | | Y+0.055x^2=1.925 | | 25x+2=4x+4 | | (-5)+(-7)+(-2)+(-10)= | | 10logx=26 |

Equations solver categories