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

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


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

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

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

Multiply (9 + 7x) * (-7 + 5x)
(9(-7 + 5x) + 7x * (-7 + 5x)) = 0
((-7 * 9 + 5x * 9) + 7x * (-7 + 5x)) = 0
((-63 + 45x) + 7x * (-7 + 5x)) = 0
(-63 + 45x + (-7 * 7x + 5x * 7x)) = 0
(-63 + 45x + (-49x + 35x2)) = 0

Combine like terms: 45x + -49x = -4x
(-63 + -4x + 35x2) = 0

Solving
-63 + -4x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -7x)(7 + -5x) = 0


Subproblem 1
Set the factor '(-9 + -7x)' equal to zero and attempt to solve:

Simplifying
-9 + -7x = 0

Solving
-9 + -7x = 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 + -7x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = 0 + 9
-7x = 0 + 9

Combine like terms: 0 + 9 = 9
-7x = 9

Divide each side by '-7'.
x = -1.285714286

Simplifying
x = -1.285714286

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 = {-1.285714286, 1.4}

See similar equations:

| 4x-3=11.2 | | 0=-7(-4u-3x+3) | | 10x+97=2x+37 | | 3+6x=5x+18 | | 0=-(6x-4y-6) | | 3*(a+1)=0 | | 125r^2-80=0 | | 0=(6x-4y-6) | | 0=-2(6v-3w-3) | | x^16-y^14=0 | | 0=(-4+6w+3v)(-4) | | 625m^4-1=0 | | =(-4+6w+3v)(-4) | | 7-3x=9x+43 | | -36r^2+1=0 | | 2x+x/2=79 | | -18-3x=2x+20 | | 22b^2-144b-70=0 | | 8x+9y=72*-8/3 | | 2c+3=3 | | 39z+40z^2-40=0 | | 2m^2+11m+10=0 | | 55r^2+94r-9=0 | | (6x-2y)/(3x)-(9x-6y)/(3x) | | 2x+3=7x+12 | | 6-2lnx=7 | | (2597000+(2500000-x))/(4146000+2500000)=50x | | 2597000+(2500000-x)/(4146000+2500000)=50x | | ax-2=2a+x | | (x+5)/3=-2 | | a(x-1)-2bx+2b=0 | | 22x^2-128=0 |

Equations solver categories