(4y^2-7)(4y^2+7)=

Simple and best practice solution for (4y^2-7)(4y^2+7)= 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 (4y^2-7)(4y^2+7)= equation: 


Simplifying
(4y2 + -7)(4y2 + 7) = 0

Reorder the terms:
(-7 + 4y2)(4y2 + 7) = 0

Reorder the terms:
(-7 + 4y2)(7 + 4y2) = 0

Multiply (-7 + 4y2) * (7 + 4y2)
(-7(7 + 4y2) + 4y2 * (7 + 4y2)) = 0
((7 * -7 + 4y2 * -7) + 4y2 * (7 + 4y2)) = 0
((-49 + -28y2) + 4y2 * (7 + 4y2)) = 0
(-49 + -28y2 + (7 * 4y2 + 4y2 * 4y2)) = 0
(-49 + -28y2 + (28y2 + 16y4)) = 0

Combine like terms: -28y2 + 28y2 = 0
(-49 + 0 + 16y4) = 0
(-49 + 16y4) = 0

Solving
-49 + 16y4 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 16y4 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16y4 = 0 + 49
16y4 = 0 + 49

Combine like terms: 0 + 49 = 49
16y4 = 49

Divide each side by '16'.
y4 = 3.0625

Simplifying
y4 = 3.0625

Reorder the terms:
-3.0625 + y4 = 3.0625 + -3.0625

Combine like terms: 3.0625 + -3.0625 = 0.0000
-3.0625 + y4 = 0.0000

Factor a difference between two squares.
(1.75 + y2)(-1.75 + y2) = 0.0000


Subproblem 1
Set the factor '(1.75 + y2)' equal to zero and attempt to solve:

Simplifying
1.75 + y2 = 0

Solving
1.75 + y2 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1.75' to each side of the equation.
1.75 + -1.75 + y2 = 0 + -1.75

Combine like terms: 1.75 + -1.75 = 0.00
0.00 + y2 = 0 + -1.75
y2 = 0 + -1.75

Combine like terms: 0 + -1.75 = -1.75
y2 = -1.75

Simplifying
y2 = -1.75

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1.75 + y2)' equal to zero and attempt to solve:

Simplifying
-1.75 + y2 = 0

Solving
-1.75 + y2 = 0

Move all terms containing y to the left, all other terms to the right.

Add '1.75' to each side of the equation.
-1.75 + 1.75 + y2 = 0 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + y2 = 0 + 1.75
y2 = 0 + 1.75

Combine like terms: 0 + 1.75 = 1.75
y2 = 1.75

Simplifying
y2 = 1.75

Take the square root of each side:
y = {-1.322875656, 1.322875656}
Solution
y = {-1.322875656, 1.322875656}

See similar equations:

| 4x^3-60x^2+224x=192 | | y=-0.02x^2+0.8+37 | | 14x+5=180 | | Iny=lnX+lnC | | 174/6 | | 8(3b-5)=-6b+20 | | h=-16tsquared+64t+3 | | x^6+65x^3+64= | | 0=1x-2x | | -6(n-6)=39-5n | | 10n+2=122 | | (5-x)/2=-4 | | x-2y=3-y | | 8m+7=7(1+3m) | | x^8-13x^4+36= | | 50x+100y=377500 | | 32+4x=2x+6(2x-8) | | P(A)=0.93 | | 5log(3x)-2=8 | | x^3-79x+210=0 | | 8(1+2r)=-5r-13 | | e+(-34)=-30 | | 2.5ln(2x+1)=1.6 | | v-(-11)=-27 | | 5(1+3n)-2n=-19+5n | | x^8-20x^4+64= | | -26=x/9-10 | | X+6=-276 | | -3=z/2-23 | | 5x^2-x=2 | | Z/5-20=22 | | 5(-5p-6)-3=-7p+39 |

Equations solver categories