(4x-9)(3x+7)=0

Simple and best practice solution for (4x-9)(3x+7)=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 (4x-9)(3x+7)=0 equation: 


Simplifying
(4x + -9)(3x + 7) = 0

Reorder the terms:
(-9 + 4x)(3x + 7) = 0

Reorder the terms:
(-9 + 4x)(7 + 3x) = 0

Multiply (-9 + 4x) * (7 + 3x)
(-9(7 + 3x) + 4x * (7 + 3x)) = 0
((7 * -9 + 3x * -9) + 4x * (7 + 3x)) = 0
((-63 + -27x) + 4x * (7 + 3x)) = 0
(-63 + -27x + (7 * 4x + 3x * 4x)) = 0
(-63 + -27x + (28x + 12x2)) = 0

Combine like terms: -27x + 28x = 1x
(-63 + 1x + 12x2) = 0

Solving
-63 + 1x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(9 + -4x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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 = {-2.333333333, 2.25}

See similar equations:

| 6x^2+10xy+6y^2=22 | | 3k/5+43=12k/25+8 | | x[3(x-2)-2x+1]= | | 6X^2+12X+2=0 | | -2z-3(x-2z)= | | 25x-6x+120=21x | | 2t=575000000-50000 | | -2a+1=-19 | | t=4n+4u | | 2t=575000000+50000 | | 2.5x=0.5x+40 | | y=0.5x+40 | | 2t=330+6 | | -(5y+1)-(-4y-7)=5 | | 10x^2+45x-25=0 | | 5+13t-2=8t+10-2t | | 2s+13s=45 | | 3x^2+9y-12=0 | | -13+3c=8 | | 4x^2-11x-15=0 | | -10.8x=43.2 | | 3x+9-6x=20 | | 6a-5=7 | | 5=-7+4b | | C(x)=x^2-9x+68 | | 7*p-2=3*p+12 | | 7*9-2=3*p+12 | | -5(3b+3)+(16b-6)=0 | | 3=2s-5 | | 56x-19+3x=5+1x | | 12+4= | | -2w^2+227.5w-11400=0 |

Equations solver categories