If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x4 + -32x2 = -225 Reorder the terms: -32x2 + x4 = -225 Solving -32x2 + x4 = -225 Solving for variable 'x'. Reorder the terms: 225 + -32x2 + x4 = -225 + 225 Combine like terms: -225 + 225 = 0 225 + -32x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-225' to each side of the equation. 225 + -32x2 + -225 + x4 = 0 + -225 Reorder the terms: 225 + -225 + -32x2 + x4 = 0 + -225 Combine like terms: 225 + -225 = 0 0 + -32x2 + x4 = 0 + -225 -32x2 + x4 = 0 + -225 Combine like terms: 0 + -225 = -225 -32x2 + x4 = -225 The x term is -32x2. Take half its coefficient (-16). Square it (256) and add it to both sides. Add '256' to each side of the equation. -32x2 + 256 + x4 = -225 + 256 Reorder the terms: 256 + -32x2 + x4 = -225 + 256 Combine like terms: -225 + 256 = 31 256 + -32x2 + x4 = 31 Factor a perfect square on the left side: (x2 + -16)(x2 + -16) = 31 Calculate the square root of the right side: 5.567764363 Break this problem into two subproblems by setting (x2 + -16) equal to 5.567764363 and -5.567764363.Subproblem 1
x2 + -16 = 5.567764363 Simplifying x2 + -16 = 5.567764363 Reorder the terms: -16 + x2 = 5.567764363 Solving -16 + x2 = 5.567764363 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x2 = 5.567764363 + 16 Combine like terms: -16 + 16 = 0 0 + x2 = 5.567764363 + 16 x2 = 5.567764363 + 16 Combine like terms: 5.567764363 + 16 = 21.567764363 x2 = 21.567764363 Simplifying x2 = 21.567764363 Take the square root of each side: x = {-4.644110718, 4.644110718}Subproblem 2
x2 + -16 = -5.567764363 Simplifying x2 + -16 = -5.567764363 Reorder the terms: -16 + x2 = -5.567764363 Solving -16 + x2 = -5.567764363 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x2 = -5.567764363 + 16 Combine like terms: -16 + 16 = 0 0 + x2 = -5.567764363 + 16 x2 = -5.567764363 + 16 Combine like terms: -5.567764363 + 16 = 10.432235637 x2 = 10.432235637 Simplifying x2 = 10.432235637 Take the square root of each side: x = {-3.229897156, 3.229897156}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-4.644110718, 4.644110718, -3.229897156, 3.229897156}
| 3m^2+14m-5=0 | | 3(2x+5)=35 | | 7y-4-5y=10 | | 6t=3(t+4)-4 | | 5x-10=46 | | 3(4z-2)-4(z-1)-11z= | | 6x^2-10x+4=0 | | xz=199-99 | | 3x-1+2x=32 | | x=842-35 | | 123-4x=32x+19 | | 2y^8-4y^7-240y^6= | | 6x^2+14x+4=0 | | (w+5)(w+5)=2w^2+16w+33 | | 26=6+5v | | (u+7)(u+7)=2u^2+16u+25 | | -2+2x=-12 | | 44-2x=16x+16 | | 7x-12=x+60 | | 48=3x-2x+9 | | 8-9x=72-37x | | x^2+18x-3=0 | | 2v^2+11v+34=(v+6)(v+6) | | -2-5x=6-7x | | 3x=2x^2-2 | | x=0.05*525 | | 21=4u+5 | | 2x^2+5=7 | | 3b(11b+8)=0 | | 5x^2-2=-3x | | (3p-4)(7p+4)=0 | | 9y^2=-30y-25 |