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

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


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

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

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

Multiply (5 + -7x) * (-7 + 3x)
(5(-7 + 3x) + -7x * (-7 + 3x)) = 0
((-7 * 5 + 3x * 5) + -7x * (-7 + 3x)) = 0
((-35 + 15x) + -7x * (-7 + 3x)) = 0
(-35 + 15x + (-7 * -7x + 3x * -7x)) = 0
(-35 + 15x + (49x + -21x2)) = 0

Combine like terms: 15x + 49x = 64x
(-35 + 64x + -21x2) = 0

Solving
-35 + 64x + -21x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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

Simplifying
5 + -7x = 0

Solving
5 + -7x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

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

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

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {2.333333333, 0.7142857143}

See similar equations:

| v^2-2v-1=0 | | (7x+1)(8x+5)=0 | | ln(2x)-ln(x)=ln(x) | | (5x+7)(3-4x)=0 | | (4x-5)(x+8)=0 | | -7+65x=39x+13 | | 7-7y=-3y+1 | | 57-2x=12-7x | | 6x+13=-23-3x | | 4x^2+4y^2=x^2-2x+1+y^2 | | 3x^4-8x^3+6x^2=0 | | (1-i)u+v=3-i | | 2a*3=a*6 | | y*2-5*y-14=0 | | 4y^2=12y | | 8+4x=-7+x | | y=2*cos(2x) | | y^2-5y-7=-4y-1 | | 4y+13=27 | | 1y^2-3y=0 | | 2(2-2y)+4y=6 | | A=180-x+(x-20) | | 2e^2*x=1 | | v(x)=12x^2-184x+480 | | 1=2e^2x | | (v)x=(30-2x)(16-2x)x | | 9w=3420 | | -(-2+5i)+(1-7i)= | | -3.7x+5.6=5.87 | | 6x^2+13x+15=0 | | 9x^2-25+(3x-5)(2x+15)= | | y^2+2x=13 |

Equations solver categories