(9-3x)(5x-7)=0

Simple and best practice solution for (9-3x)(5x-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 (9-3x)(5x-7)=0 equation: 


Simplifying
(9 + -3x)(5x + -7) = 0

Reorder the terms:
(9 + -3x)(-7 + 5x) = 0

Multiply (9 + -3x) * (-7 + 5x)
(9(-7 + 5x) + -3x * (-7 + 5x)) = 0
((-7 * 9 + 5x * 9) + -3x * (-7 + 5x)) = 0
((-63 + 45x) + -3x * (-7 + 5x)) = 0
(-63 + 45x + (-7 * -3x + 5x * -3x)) = 0
(-63 + 45x + (21x + -15x2)) = 0

Combine like terms: 45x + 21x = 66x
(-63 + 66x + -15x2) = 0

Solving
-63 + 66x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + 22x + -5x2) = 0

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

Ignore the factor 3.

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

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

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

Simplifying
x = 3

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {3, 1.4}

See similar equations:

| 5(x-3)+x=3(2x+5) | | (4x*4x)+(3y*3y)=2500 | | 60x^2(2x^2-3x-2)=0 | | 25+2y-2=10y-12-3y | | 5e^6x=20 | | 30n-54=216 | | 8(3g-2)=12(2g+1) | | 0=10+12x^2 | | 20.50x+100+234=1154 | | 6m+4.25=43.25 | | P=q-3x | | 12x+x=42 | | (K^2)-4k=-4 | | G^2+2g-20=15 | | 2/3(X)=-6 | | 7(-4)=7-(-4) | | 7(-4)=7-4 | | 3473.25=1540+175.75x | | 9x-3=4x-3 | | 7(-4)=7+-4 | | 4cos(x)+5=7 | | 7x+50=155 | | 8x-10=4x-4 | | t(-4)=7-(-4) | | 7x+150=155 | | 2x-37=19 | | 47t^2+10t=0 | | A=1+prt(s) | | -0.67x+0.333+x=0.4 | | 2x-12/3x-18 | | .06=n*55 | | 4(3+c)c=c+4 |

Equations solver categories