(3x-7)(5x+4)=0

Simple and best practice solution for (3x-7)(5x+4)=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-7)(5x+4)=0 equation: 


Simplifying
(3x + -7)(5x + 4) = 0

Reorder the terms:
(-7 + 3x)(5x + 4) = 0

Reorder the terms:
(-7 + 3x)(4 + 5x) = 0

Multiply (-7 + 3x) * (4 + 5x)
(-7(4 + 5x) + 3x * (4 + 5x)) = 0
((4 * -7 + 5x * -7) + 3x * (4 + 5x)) = 0
((-28 + -35x) + 3x * (4 + 5x)) = 0
(-28 + -35x + (4 * 3x + 5x * 3x)) = 0
(-28 + -35x + (12x + 15x2)) = 0

Combine like terms: -35x + 12x = -23x
(-28 + -23x + 15x2) = 0

Solving
-28 + -23x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -5x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 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 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
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
Solution
x = {-0.8, 2.333333333}

See similar equations:

| -3ab^2(2a^2b^2)=0 | | F(x)=8x-16 | | 80x-2x^2=y | | 5v^2+17v-40= | | 25a^2+29a+9= | | X*Y=56 | | 1.4=3.6 | | x(x^2-1)(x^2+4)=0 | | 21b^2-52b+7= | | 6(x-1)+5x=-7x | | 35v^2-54v+7= | | 4x^2-3y^2+8x+16=0 | | x^2+13=3x+14 | | 20q^2+q-1= | | -3b^2+10b+13=0 | | (X-5)(3x-2)=0 | | 0=7(n-2) | | 35c^2-54c+7= | | sin+3.14= | | 56r^2+31r+3= | | 57x(4q)=228 | | -16t^2+80t+7=0 | | 5x+(9x*.5)=65 | | -4x+7y=5 | | log(x)=5.8-log(7.2) | | 2(3+p)=8 | | ln(x)=5.8+ln(7.2) | | 3k^2+2k-16=0 | | (4x)+46=90 | | 6y+9=11y+49 | | 10d+7=8d+13 | | 6w-5=3w+4 |

Equations solver categories