-5x(4x+6)=21

Simple and best practice solution for -5x(4x+6)=21 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(4x+6)=21 equation:


Simplifying
-5x(4x + 6) = 21

Reorder the terms:
-5x(6 + 4x) = 21
(6 * -5x + 4x * -5x) = 21
(-30x + -20x2) = 21

Solving
-30x + -20x2 = 21

Solving for variable 'x'.

Reorder the terms:
-21 + -30x + -20x2 = 21 + -21

Combine like terms: 21 + -21 = 0
-21 + -30x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 30x + 20x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(21 + 30x + 20x2)' equal to zero and attempt to solve: Simplifying 21 + 30x + 20x2 = 0 Solving 21 + 30x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.05 + 1.5x + x2 = 0.0 Move the constant term to the right: Add '-1.05' to each side of the equation. 1.05 + 1.5x + -1.05 + x2 = 0.0 + -1.05 Reorder the terms: 1.05 + -1.05 + 1.5x + x2 = 0.0 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + 1.5x + x2 = 0.0 + -1.05 1.5x + x2 = 0.0 + -1.05 Combine like terms: 0.0 + -1.05 = -1.05 1.5x + x2 = -1.05 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -1.05 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -1.05 + 0.5625 Combine like terms: -1.05 + 0.5625 = -0.4875 0.5625 + 1.5x + x2 = -0.4875 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -0.4875 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 0.5(x)=2x(3.4) | | 6t-2k+4t= | | -32(12x)+27(17x)=0+(-450) | | 25.5=p-15.5 | | y-0.5=0.15 | | f(x)=(x+2)(x+1) | | (6x-3)=(5x+6) | | x-3+2x=90 | | 10+8-6-2=2x+x+x-x | | x/y=800 | | 5x-11=4(x-1) | | (6x-3)=(5x+3) | | X(5)-3=x(2)+6 | | x=cosx | | 0.1(25+x)=5 | | 9x-6=9x+10 | | 8(10-3)= | | Y-20=64 | | 60+18y=6 | | 21+(3x+2)+(4x-7)=180 | | 10r+-5+-2r+9+7r= | | y=0.25(48) | | 4/5w-12=2/3w | | 12y+17=53 | | 3x+1=272x | | 96-113=-6(-6y)-19(2y)+y | | Y-5.22=3.99 | | 3x-6(6x+18)=66 | | 56=14u | | 7(7/4) | | 2(7/4)^2 | | -6x+3(6x-14)=54 |

Equations solver categories