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

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


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

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

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

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

Multiply (5 + 3x) * (-2 + 4x)
3(5(-2 + 4x) + 3x * (-2 + 4x)) = 0
3((-2 * 5 + 4x * 5) + 3x * (-2 + 4x)) = 0
3((-10 + 20x) + 3x * (-2 + 4x)) = 0
3(-10 + 20x + (-2 * 3x + 4x * 3x)) = 0
3(-10 + 20x + (-6x + 12x2)) = 0

Combine like terms: 20x + -6x = 14x
3(-10 + 14x + 12x2) = 0
(-10 * 3 + 14x * 3 + 12x2 * 3) = 0
(-30 + 42x + 36x2) = 0

Solving
-30 + 42x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + 7x + 6x2) = 0

Factor a trinomial.
6((-5 + -3x)(1 + -2x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

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 = {-1.666666667, 0.5}

See similar equations:

| 36x^2+42x-30=0 | | (1.3-2.1a)(-4.2)=3.36 | | 2(3x+2)=46 | | 4(2p+6)=(3+3p) | | 3(x-11)=30 | | 2x+16x=18 | | 3x^2+2xy+3y^2-16=0 | | 9y-4y=45+8y | | 160-3x=33x+24 | | 11-7x=196-42x | | 4x+6=-111-9x | | (8x+15)-(3x+8)=4x-1 | | 99-3x=2x+24 | | 12Q=27-3p | | -38-2x=7-7x | | -38x-2x=2-7x | | -3y+2=-10+3y | | 2x+5=75-5x | | 3+6x=28+x | | 5v+8-2v=26 | | 6w+12-2w=2w-4 | | 2(n+9)-60=-26 | | -13=5+3y | | 2x-9=5x+3 | | 3x+15=7-4x | | -8+3v=7 | | 3x+15=7+4x | | X^2+12x+26=0 | | (x+9)(x-10)=6 | | 19.19+88x=252.31 | | x+58+x=608 | | -8-6k=6(1+3k) |

Equations solver categories