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

Simple and best practice solution for (3x-4)(2x+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 (3x-4)(2x+7)=0 equation: 


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

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

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

Multiply (-4 + 3x) * (7 + 2x)
(-4(7 + 2x) + 3x * (7 + 2x)) = 0
((7 * -4 + 2x * -4) + 3x * (7 + 2x)) = 0
((-28 + -8x) + 3x * (7 + 2x)) = 0
(-28 + -8x + (7 * 3x + 2x * 3x)) = 0
(-28 + -8x + (21x + 6x2)) = 0

Combine like terms: -8x + 21x = 13x
(-28 + 13x + 6x2) = 0

Solving
-28 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-3.5, 1.333333333}

See similar equations:

| -p^2+9p=8 | | 0=.66x+6 | | 119=6(7r+7)-7 | | 4x+5-2x+6=33 | | x/3=5/2 | | -0.1x+0.4=2.5-0.8x | | 4(x+2)-3x+4=x+4 | | 39=3w | | -330=-3m-8(3+6m) | | 81w^3-100w=0 | | 3.9(4+5x)-2.6=13 | | 3(x+4)=2x+x+10 | | -2(x-1)=2x-2 | | (.2)87+(.2)89+(.2)76+(.2)77+(.2)x=80 | | 3.8z-5.18=3.332 | | 2b+2=b+5 | | 10(x-2)=10x | | 3(t+2)=2 | | 3x-5=3x-8+3 | | x^2+3-9=0 | | 2+2=2x | | 3x+5=3-x | | 4q+3=47 | | 10+n=4 | | 2x+9=2x+8 | | 15=4x | | (3a)3= | | 4x-6y=3 | | 2x-(x+1)=-4+3(x-3) | | (3x)3= | | -8x^2-100x-428=0 | | 8q-q+7-4-3Q=7+4(10) |

Equations solver categories