4(5x^2-7x+11)=0

Simple and best practice solution for 4(5x^2-7x+11)=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 4(5x^2-7x+11)=0 equation:


Simplifying
4(5x2 + -7x + 11) = 0

Reorder the terms:
4(11 + -7x + 5x2) = 0
(11 * 4 + -7x * 4 + 5x2 * 4) = 0
(44 + -28x + 20x2) = 0

Solving
44 + -28x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(11 + -7x + 5x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(11 + -7x + 5x2)' equal to zero and attempt to solve: Simplifying 11 + -7x + 5x2 = 0 Solving 11 + -7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.2 + -1.4x + x2 = 0 Move the constant term to the right: Add '-2.2' to each side of the equation. 2.2 + -1.4x + -2.2 + x2 = 0 + -2.2 Reorder the terms: 2.2 + -2.2 + -1.4x + x2 = 0 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -1.4x + x2 = 0 + -2.2 -1.4x + x2 = 0 + -2.2 Combine like terms: 0 + -2.2 = -2.2 -1.4x + x2 = -2.2 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -2.2 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -2.2 + 0.49 Combine like terms: -2.2 + 0.49 = -1.71 0.49 + -1.4x + x2 = -1.71 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -1.71 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:

| 2a^2+3a-7=5 | | 2a^2+3a-7= | | 3x^2-8x+18=573 | | 3n+10= | | (2x-5)*(6+x)=2x^2-7x+12 | | 4(3x+5)+7(11x-9)=0 | | 2a^2+3a-7=5k | | -6+x(4)=-5 | | -2y-10=5y+25 | | x+4=7x+32-3x | | 4n-2=5n+18 | | 3x^2-8x+18=523 | | 2a^2+3a-7=30 | | -102=5y | | 2a^2+3a-7=25 | | -101=5y | | 2x+0.25x=3 | | 2a^2+3a-7=10 | | (2x-5)*(6+x)=2x-7x+12 | | 5th-26=18t | | 7t+3=19 | | 10.85/a=3.5 | | -100=5y | | 8x^2=22x-21 | | 2a^2+3a-7=40 | | x+(x-336)=30452 | | 7h-12=51 | | 4x-0.5x-3=0.5 | | t/3-1=16 | | 3G+4g-2g=30 | | 2y^2+9y=(y+2)(y+7) | | 0.8(x+20)+0.6x=65 |

Equations solver categories