(5x+3)(4x-3)=0

Simple and best practice solution for (5x+3)(4x-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 (5x+3)(4x-3)=0 equation:


Simplifying
(5x + 3)(4x + -3) = 0

Reorder the terms:
(3 + 5x)(4x + -3) = 0

Reorder the terms:
(3 + 5x)(-3 + 4x) = 0

Multiply (3 + 5x) * (-3 + 4x)
(3(-3 + 4x) + 5x * (-3 + 4x)) = 0
((-3 * 3 + 4x * 3) + 5x * (-3 + 4x)) = 0
((-9 + 12x) + 5x * (-3 + 4x)) = 0
(-9 + 12x + (-3 * 5x + 4x * 5x)) = 0
(-9 + 12x + (-15x + 20x2)) = 0

Combine like terms: 12x + -15x = -3x
(-9 + -3x + 20x2) = 0

Solving
-9 + -3x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {-0.6, 0.75}

See similar equations:

| 2n+5y+5n-6y-2n= | | 3f-12=3[f-12] | | 3c=6+2c | | 15.25d+9.50d+40=213.25 | | 3(2-0.9h)+(-1.3-4)= | | 1=0.1408450704b-1(0-b)(0-7.1) | | -10x+5x+40=90 | | (48-18)+5x=48 | | 0.20(y-9)+0.10y=0.14y-0.05(20) | | -144=11x | | 8x-5=2x-4 | | 8(-7-8n)=16+8n | | Y-k= | | 6x+18=4x+28 | | Y+4-2x=0 | | X^2-2x+3x+108=108 | | 4t^2-17t-1=0 | | .5y+.25(y+16)=4+.75y | | -13=-2.5x-3 | | (3x+7)+(3x+6)+(3x)=(3x)+(3x)+(4x+4) | | 2n+5y+5n-6y-2k= | | 0.50x+0.15(50)=25.5 | | X^2+112=16x+131 | | (5x+4)+54=180 | | -7x^2+6x-8=-4-4x | | -6(-8-7x)+5=-37-3x | | 3m+2n+5m+4n= | | 3t+1=6t-9 | | 1.1+-15x+3x=15x+-2+4 | | 4x=2(x+1)+3(x+1) | | z+2y=114x | | 2(4x-3)=-26+4x |

Equations solver categories