(7x-5)(2x-3)=0

Simple and best practice solution for (7x-5)(2x-3)=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)(2x-3)=0 equation:


Simplifying
(7x + -5)(2x + -3) = 0

Reorder the terms:
(-5 + 7x)(2x + -3) = 0

Reorder the terms:
(-5 + 7x)(-3 + 2x) = 0

Multiply (-5 + 7x) * (-3 + 2x)
(-5(-3 + 2x) + 7x * (-3 + 2x)) = 0
((-3 * -5 + 2x * -5) + 7x * (-3 + 2x)) = 0
((15 + -10x) + 7x * (-3 + 2x)) = 0
(15 + -10x + (-3 * 7x + 2x * 7x)) = 0
(15 + -10x + (-21x + 14x2)) = 0

Combine like terms: -10x + -21x = -31x
(15 + -31x + 14x2) = 0

Solving
15 + -31x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -7x)(3 + -2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.7142857143, 1.5}

See similar equations:

| 6.6h=9.3-3.2h | | -6b-2+8=-22 | | 3x+20+2x-25=5x+10 | | 3.6y-7.5=8.2y | | b^2+9b-384=0 | | 1/9g=63 | | 3v=3v | | 4t-20= | | 82+(25x-2)+(20x-1)+(25x+1)=360 | | 2a+4a+a=150 | | 5-2Pir^2=2Pi | | n^2+7n-8= | | 35=4y | | 65=3x+2 | | -5x+9-1= | | n-2=5(2n) | | n^2-20n+100= | | 2(4z-2x+y)=0 | | 8s+5p=tp-5forp | | (x+4)-(6x+4)+(3x-6)= | | 6*24.27+39.95=105.65 | | 4.2+x=5.3 | | 8s+5p=tp-5 | | z+3u=15 | | 7=-2+13 | | 6=2(n-7)+2 | | 0.5(0.1)(1.2)= | | x+x(.05)=63 | | v^2-3v-54= | | x+30+x-23=2x-7 | | -6x^2-x-1=-8x^2 | | -5(1-7n)=-250 |

Equations solver categories