(3x+2)(4x-7)=

Simple and best practice solution for (3x+2)(4x-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)(4x-7)= equation: 


Simplifying
(3x + 2)(4x + -7) = 0

Reorder the terms:
(2 + 3x)(4x + -7) = 0

Reorder the terms:
(2 + 3x)(-7 + 4x) = 0

Multiply (2 + 3x) * (-7 + 4x)
(2(-7 + 4x) + 3x * (-7 + 4x)) = 0
((-7 * 2 + 4x * 2) + 3x * (-7 + 4x)) = 0
((-14 + 8x) + 3x * (-7 + 4x)) = 0
(-14 + 8x + (-7 * 3x + 4x * 3x)) = 0
(-14 + 8x + (-21x + 12x2)) = 0

Combine like terms: 8x + -21x = -13x
(-14 + -13x + 12x2) = 0

Solving
-14 + -13x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x)(7 + -4x) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-0.6666666667, 1.75}

See similar equations:

| 8=6v+4(v-8) | | 5-3(w+4)-w=-7 | | -24=a-7a | | 3b-13+4(b-1)=4 | | 15-4y=41 | | 6(2x+7)=144 | | 0.85x=55.25 | | 8I=7 | | -2+5w=-12 | | 2c+9.75-7c=-5.15 | | 7n+5(n+1)=-7 | | -(4x^2)+2x-35=0 | | x*49+12200=x*116 | | 3+2(x+1)=9x+(x-1) | | 7(3x+8)=350 | | 31(4-z)= | | a^2+20=0 | | 3+2(x+1)=9x+(x+12) | | 3+2(x+1)=9x+(x+4) | | -3x+5(-7x-3)=175 | | 9x+8=107 | | zi=m(2-3i)-2m(4+i)+m^2 | | 30=-10X | | 10p+9-1-p=-2(2p+4)-3(2p-2) | | x+6/3=x-5/2 | | 2x+3x-4=2x-7 | | 0.2x+5x=7x-8 | | z=m(2-3i)-2m(4+i)+m^2 | | xy-(3x^2)+x+4y=-30+1 | | 5.1x+2.9y=9.8 | | 3+2(x+1)=9x+(x+1) | | x-.02x=3877.97 |

Equations solver categories