(4x-1)(4x-1)=-9

Simple and best practice solution for (4x-1)(4x-1)=-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 (4x-1)(4x-1)=-9 equation:


Simplifying
(4x + -1)(4x + -1) = -9

Reorder the terms:
(-1 + 4x)(4x + -1) = -9

Reorder the terms:
(-1 + 4x)(-1 + 4x) = -9

Multiply (-1 + 4x) * (-1 + 4x)
(-1(-1 + 4x) + 4x * (-1 + 4x)) = -9
((-1 * -1 + 4x * -1) + 4x * (-1 + 4x)) = -9
((1 + -4x) + 4x * (-1 + 4x)) = -9
(1 + -4x + (-1 * 4x + 4x * 4x)) = -9
(1 + -4x + (-4x + 16x2)) = -9

Combine like terms: -4x + -4x = -8x
(1 + -8x + 16x2) = -9

Solving
1 + -8x + 16x2 = -9

Solving for variable 'x'.

Reorder the terms:
1 + 9 + -8x + 16x2 = -9 + 9

Combine like terms: 1 + 9 = 10
10 + -8x + 16x2 = -9 + 9

Combine like terms: -9 + 9 = 0
10 + -8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4x + 8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -4x + 8x2)' equal to zero and attempt to solve: Simplifying 5 + -4x + 8x2 = 0 Solving 5 + -4x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.5x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.5x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.5x + x2 = 0 + -0.625 -0.5x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.5x + x2 = -0.625 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.625 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.625 + 0.0625 Combine like terms: -0.625 + 0.0625 = -0.5625 0.0625 + -0.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.5625 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:

| 3/4(-8)= | | -7x^2+4x-2=0 | | -x^2-4x+96=0 | | 6x(23-67)=12 | | 63(b-1)+7=7(9b-8) | | (3Z+4)(3Z+4)+144=0 | | 7x+2x-3x+5=47 | | -4x^2+5x-4=0 | | 11x^2+20x-2=0 | | 5x(12)=7 | | y^2-5y+9=y^2-4y+4 | | 15-4y=7 | | 2(3y+6)=3(y-8) | | 2(x+6)=2x-6 | | 6x^2-x-100=0 | | 9x^2-4x-15=0 | | 3(x-5)=-6(x+4) | | 3(x-5)=-6(x-4) | | 3(5x+4)+5(x-4)= | | y-3=4(x-2) | | x*x*x*x-x*x=0 | | 8a-2=21 | | 4x^2+5=105 | | 14(t-1)=8(t+2)-t | | 5x^2=19x+30 | | 50-2(3x-4)=5(7-2x) | | 2m^2=8 | | -(-16-3s)-(6s+1)=22 | | -4(0)+3= | | 4x^3+16x^2-24x= | | .5A+5=15 | | 2(y+5)+6(y-5)=5y+1 |

Equations solver categories