(6x+8)(3x+38)=

Simple and best practice solution for (6x+8)(3x+38)= 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 (6x+8)(3x+38)= equation:


Simplifying
(6x + 8)(3x + 38) = 0

Reorder the terms:
(8 + 6x)(3x + 38) = 0

Reorder the terms:
(8 + 6x)(38 + 3x) = 0

Multiply (8 + 6x) * (38 + 3x)
(8(38 + 3x) + 6x * (38 + 3x)) = 0
((38 * 8 + 3x * 8) + 6x * (38 + 3x)) = 0
((304 + 24x) + 6x * (38 + 3x)) = 0
(304 + 24x + (38 * 6x + 3x * 6x)) = 0
(304 + 24x + (228x + 18x2)) = 0

Combine like terms: 24x + 228x = 252x
(304 + 252x + 18x2) = 0

Solving
304 + 252x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(152 + 126x + 9x2) = 0

Factor a trinomial.
2((38 + 3x)(4 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(38 + 3x)' equal to zero and attempt to solve: Simplifying 38 + 3x = 0 Solving 38 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 3x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 3x = 0 + -38 3x = 0 + -38 Combine like terms: 0 + -38 = -38 3x = -38 Divide each side by '3'. x = -12.66666667 Simplifying x = -12.66666667

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {-12.66666667, -1.333333333}

See similar equations:

| -172=-20(-4b) | | 15x^2+80+80x=0 | | 9g+4g=52 | | 14+3n=3(n-4) | | 2x^2+3x-4=8 | | 12p-15p=6 | | (6x+12)(2x)= | | 6x-1=2x-3 | | 2x^2+6=14 | | 2-2=11y-2y | | -4m-3=2+1m | | 6p-18p=24 | | 6(-27-8)=7(-27-3) | | 4r-15=8r+1 | | p=7x-2y | | (9x-2)=(4x+13) | | (3x-50)(2x-5)= | | -12(3-2x)=44(-5x+7) | | -19x=551 | | 5m-2(m+2)=(-2m+15) | | -24=4z | | (9x+2)=(4x+13) | | 5(x-9)=4(x+9) | | 4x+20=6x | | 5x+x=4 | | p^3-pq^2-p^2q+q^3=0 | | (3x-10)(2x+15)= | | n-7=n-1 | | 8=2s | | 4x-10=12x-54 | | 20r^2=4r | | 0=0.98b+0.02-6 |

Equations solver categories