(3x+5)(4x-9)=0

Simple and best practice solution for (3x+5)(4x-9)=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-9)=0 equation: 


Simplifying
(3x + 5)(4x + -9) = 0

Reorder the terms:
(5 + 3x)(4x + -9) = 0

Reorder the terms:
(5 + 3x)(-9 + 4x) = 0

Multiply (5 + 3x) * (-9 + 4x)
(5(-9 + 4x) + 3x * (-9 + 4x)) = 0
((-9 * 5 + 4x * 5) + 3x * (-9 + 4x)) = 0
((-45 + 20x) + 3x * (-9 + 4x)) = 0
(-45 + 20x + (-9 * 3x + 4x * 3x)) = 0
(-45 + 20x + (-27x + 12x2)) = 0

Combine like terms: 20x + -27x = -7x
(-45 + -7x + 12x2) = 0

Solving
-45 + -7x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(9 + -4x) = 0


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 '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-1.666666667, 2.25}

See similar equations:

| 28x+.13=.17x | | log(x-2)+log(x+2)=1 | | 8t+3=9t-7 | | 8t+3=9+-7 | | 3020=28y+13x | | Lgx=20 | | 50x+50y=50 | | 50x+50y=50 | | 25x+50y=50 | | f(x)=2x^4-3x^3+2x^2-3 | | 8x^2y/12xy | | 7=X+Y*3 | | 7=(7+-3Y)+3Y | | 7=X+3Y | | x+0.25x=150 | | (X+12)*x=5440 | | N=X+Y*3 | | 52p-32=p+3946 | | 49t+64=-3t+792 | | 6n^2+1=0 | | 5n+65=2n+206 | | -94+12y+6=6(3y-5)-4 | | 7x+38=10whatisx | | 1900=0.25x-0.20y | | 5m/14-7m/20 | | 5x-42=168 | | (4x^2)^3/8x^5 | | -18+2k=k-5k | | 54.6+(7.02-2.3)*1.5= | | -3t+7=19 | | -3t+7=-3 | | 44/×452 |

Equations solver categories