(5x+7)(7x-15)=0

Simple and best practice solution for (5x+7)(7x-15)=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 (5x+7)(7x-15)=0 equation: 


Simplifying
(5x + 7)(7x + -15) = 0

Reorder the terms:
(7 + 5x)(7x + -15) = 0

Reorder the terms:
(7 + 5x)(-15 + 7x) = 0

Multiply (7 + 5x) * (-15 + 7x)
(7(-15 + 7x) + 5x * (-15 + 7x)) = 0
((-15 * 7 + 7x * 7) + 5x * (-15 + 7x)) = 0
((-105 + 49x) + 5x * (-15 + 7x)) = 0
(-105 + 49x + (-15 * 5x + 7x * 5x)) = 0
(-105 + 49x + (-75x + 35x2)) = 0

Combine like terms: 49x + -75x = -26x
(-105 + -26x + 35x2) = 0

Solving
-105 + -26x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(15 + -7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(15 + -7x)' equal to zero and attempt to solve:

Simplifying
15 + -7x = 0

Solving
15 + -7x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -7x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = 0 + -15
-7x = 0 + -15

Combine like terms: 0 + -15 = -15
-7x = -15

Divide each side by '-7'.
x = 2.142857143

Simplifying
x = 2.142857143
Solution
x = {-1.4, 2.142857143}

See similar equations:

| 1.5(x)=6 | | n-12=-13(1/2) | | ln(7x+2)=ln(8) | | 10-55=a | | 96/54x1 | | 14=k+11 | | -5(t-5)+7t=9t-3 | | 1/2x-y=0 | | 5x+3x-4=-2x+6 | | 96/54x=1 | | 5x-6=4x+10 | | 8v^2-23v-124=-4-7v | | 4z+7=-2z+6 | | 8/3v=48 | | -9+x/2=3 | | 23*x-60=360 | | 8x-21=3(x-5) | | (2x-5)(9x-15)=0 | | 16n^2+64n=0 | | 2x+6x=20-4 | | 30=-7v-4v | | 6x-30=180 | | (x+8)(x)(x-2)=864 | | xln(x)=2.5(x-.555) | | 3(2n+5)=4(3n-4) | | 3-x=2x-12 | | 5(x)=2x-1 | | 9x=6-3x | | 137=7(7-r)-4r | | 6(3x+3)-9(3x-6)=3x+18 | | 9(7x+7)=2(12x+5) | | (4m+16)(3m-18)=0 |

Equations solver categories