If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 54y2 = 9y4 + 64 Reorder the terms: 54y2 = 64 + 9y4 Solving 54y2 = 64 + 9y4 Solving for variable 'y'. Reorder the terms: -64 + 54y2 + -9y4 = 64 + 9y4 + -64 + -9y4 Reorder the terms: -64 + 54y2 + -9y4 = 64 + -64 + 9y4 + -9y4 Combine like terms: 64 + -64 = 0 -64 + 54y2 + -9y4 = 0 + 9y4 + -9y4 -64 + 54y2 + -9y4 = 9y4 + -9y4 Combine like terms: 9y4 + -9y4 = 0 -64 + 54y2 + -9y4 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 7.111111111 + -6y2 + y4 = 0 Move the constant term to the right: Add '-7.111111111' to each side of the equation. 7.111111111 + -6y2 + -7.111111111 + y4 = 0 + -7.111111111 Reorder the terms: 7.111111111 + -7.111111111 + -6y2 + y4 = 0 + -7.111111111 Combine like terms: 7.111111111 + -7.111111111 = 0.000000000 0.000000000 + -6y2 + y4 = 0 + -7.111111111 -6y2 + y4 = 0 + -7.111111111 Combine like terms: 0 + -7.111111111 = -7.111111111 -6y2 + y4 = -7.111111111 The y term is -6y2. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y2 + 9 + y4 = -7.111111111 + 9 Reorder the terms: 9 + -6y2 + y4 = -7.111111111 + 9 Combine like terms: -7.111111111 + 9 = 1.888888889 9 + -6y2 + y4 = 1.888888889 Factor a perfect square on the left side: (y2 + -3)(y2 + -3) = 1.888888889 Calculate the square root of the right side: 1.374368542 Break this problem into two subproblems by setting (y2 + -3) equal to 1.374368542 and -1.374368542.Subproblem 1
y2 + -3 = 1.374368542 Simplifying y2 + -3 = 1.374368542 Reorder the terms: -3 + y2 = 1.374368542 Solving -3 + y2 = 1.374368542 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y2 = 1.374368542 + 3 Combine like terms: -3 + 3 = 0 0 + y2 = 1.374368542 + 3 y2 = 1.374368542 + 3 Combine like terms: 1.374368542 + 3 = 4.374368542 y2 = 4.374368542 Simplifying y2 = 4.374368542 Take the square root of each side: y = {-2.091499114, 2.091499114}Subproblem 2
y2 + -3 = -1.374368542 Simplifying y2 + -3 = -1.374368542 Reorder the terms: -3 + y2 = -1.374368542 Solving -3 + y2 = -1.374368542 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y2 = -1.374368542 + 3 Combine like terms: -3 + 3 = 0 0 + y2 = -1.374368542 + 3 y2 = -1.374368542 + 3 Combine like terms: -1.374368542 + 3 = 1.625631458 y2 = 1.625631458 Simplifying y2 = 1.625631458 Take the square root of each side: y = {-1.275002533, 1.275002533}Solution
The solution to the problem is based on the solutions from the subproblems. y = {-2.091499114, 2.091499114, -1.275002533, 1.275002533}
| y=0.3333333333b+2.333333333tx | | 5u^2+19u+14=0 | | 5u^2+19+14=0 | | 30y+24y^2=75 | | 8x+3y=32 | | 1.6x=2.72 | | X*1.09=20 | | 6k+3(1+2k)=-25+5k | | 9xy-3x^2+6y-6xy+5x^2=0 | | 5b+6(3+2b)=28+5b | | X+(X*.09)=20 | | -6r=-3(r+7) | | 1+3p+6p=-17 | | lnx-24+4lnx-6x=0 | | 9(2n-3)=(4n+4)+9 | | 3-5m=11-7m | | 3y^2=15-4y | | 0.06(6t+1)=0.09(4t-3)+0.11 | | m-4=-12-3m | | -2(t-2)+6t=8t-6 | | 36y^2=12-6y | | -(x-18)+(x+7)=x+5 | | 7(t-6)+7t=7(2t+5)-8 | | f(x)=x^4-18x^2+81 | | -2(-c-20)=-2x-20 | | -4(3-8.5s)=-16.5 | | 13-3n=-5n-1 | | a^3+125=0 | | -4(2x-4)=-8x-16 | | -2(t-5)+8t=3t-1 | | x^2+26x+169=-22 | | -6b-9.5+4.5b=-27.5 |