3x(4x+5)=5x-9

Simple and best practice solution for 3x(4x+5)=5x-9 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(4x+5)=5x-9 equation: 


Simplifying
3x(4x + 5) = 5x + -9

Reorder the terms:
3x(5 + 4x) = 5x + -9
(5 * 3x + 4x * 3x) = 5x + -9
(15x + 12x2) = 5x + -9

Reorder the terms:
15x + 12x2 = -9 + 5x

Solving
15x + 12x2 = -9 + 5x

Solving for variable 'x'.

Reorder the terms:
9 + 15x + -5x + 12x2 = -9 + 5x + 9 + -5x

Combine like terms: 15x + -5x = 10x
9 + 10x + 12x2 = -9 + 5x + 9 + -5x

Reorder the terms:
9 + 10x + 12x2 = -9 + 9 + 5x + -5x

Combine like terms: -9 + 9 = 0
9 + 10x + 12x2 = 0 + 5x + -5x
9 + 10x + 12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
9 + 10x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.75 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.8333333333x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.8333333333x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.8333333333x + x2 = 0 + -0.75
0.8333333333x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.8333333333x + x2 = -0.75

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.75 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.75 + 0.1736111111

Combine like terms: -0.75 + 0.1736111111 = -0.5763888889
0.1736111111 + 0.8333333333x + x2 = -0.5763888889

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.5763888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| logx^49=4 | | 8X+5=6X+39 | | 4x+87=11x-109 | | -2X^2-20x-45=0 | | -42=-14(n-11) | | 6Y+4=5Y-2 | | -3(3s-2)-6=-2(8s+9)-3 | | 15b^2+22b-48=0 | | 2(8x-5)=11(x-15) | | 6x-3+3x=-84 | | 6x-3x=-84 | | -3x-5/2=-3 | | 1.5x^3-72x^2+358=0 | | 42=-14(n-14) | | 2n^2-5n+9=0 | | 5x+3x-7=33 | | -3x(-4x+1)=-5x+10 | | (1/2)(2/7)^2*(2/3) | | 3x+y+2z=54 | | 1/2(2/7)^2(2/3) | | -2x^2-8x+6whenx=-3 | | -4(3y)-6+2(5y+7)= | | -8(7y)-7+6(9y+9)= | | -2x^2-8x+6= | | 3x+10x+5=11+10x | | 5(t-3)+4= | | 13x+5=10x+11 | | 3(t-3)+4= | | (4x^2-3x+5)-(2x^2+x-6)= | | 2(2a+6)= | | 16(7n+15)= | | 3x+15+7x+15+8x-2=180 |

Equations solver categories