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

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


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

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

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

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

Combine like terms: -15x + 7x = -8x
(-21 + -8x + 5x2) = 0

Solving
-21 + -8x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -5x)(3 + -1x) = 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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

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

See similar equations:

| 6=1/5(12s-6) | | .4x+10=20 | | 1/3(5y-4)=7 | | 84+y-25=180 | | 3*x^2=78 | | 36r^2-21g^2=0 | | a/6-7=-4 | | 122=(1.8XC)+32 | | 4r+2s=20 | | -5m+8m=2m+11 | | 16b^2+40bg+25g^2=0 | | 4r+25=20 | | 0.7x+17=23 | | 0.6x+17=23 | | x^2+3*y=14564 | | 0.67x+17=23 | | An=3n-7 | | 4m=4m | | 4m-n=10 | | 5p+24=p-96 | | 2x+12+4x-42=180 | | 3(2n-7)+-3=36 | | 2+10=20 | | f=(1.8x-10)+32 | | -7x=4 | | 7c-d=20 | | 3(2x+3)=4(x-2) | | 3(2x+3)=4 | | 3x-5=5x+11 | | r^2+4r-7=0 | | 15=2x(x-1.5) | | 6(x+1)-7=5(x+8) |

Equations solver categories