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

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


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

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

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

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

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

Solving
14 + -31x + 15x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

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

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

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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 = {0.6666666667, 1.4}

See similar equations:

| 10000x^2+2x-0.04=0 | | 6z-25=83 | | -16t^2+8t=1 | | 3(x+4)=-2(6x-9)+5x | | (8x-16)=(2x+20) | | 3+3(4y-1)=-4(2y-3)+5y | | 5x+19y+19+9x-7y-19= | | 2y-9+2(7y+8)=-2(y+1) | | -4(-5-b)=1/3(b+16) | | 11x^2+5y^2=224 | | lnx+(x+2)=4 | | -7a+9=16 | | 6(w-1)-6=-6(-4w+5)-2w | | -3*(-8)= | | m=3/20 | | 2w-15=15 | | (-3)x-4=1 | | 4(u+3)=-4(4u-7)+8u | | 2a(a)+19a+24= | | 17=m+3-6 | | 34=(x-3)+(4+x)+x | | -18-24/(-6)= | | 18(x+3)=2(9-1)+56 | | -4(-1)(-2)(2)= | | -2(2u-4)+4u=8+3(6u-4) | | 8+(3x-3)=(2x+1) | | 9y=-3x-7 | | 3x-2(x+1)=8 | | -.375x+.250=.125 | | 11+(8x+19)=(10x+3) | | -4.2a=4.494 | | 3x+6=18-2x |

Equations solver categories