If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 8x4 + -24x2 + 6 Reorder the terms: 0 = 6 + -24x2 + 8x4 Solving 0 = 6 + -24x2 + 8x4 Solving for variable 'x'. Combine like terms: 0 + -6 = -6 -6 + 24x2 + -8x4 = 6 + -24x2 + 8x4 + -6 + 24x2 + -8x4 Reorder the terms: -6 + 24x2 + -8x4 = 6 + -6 + -24x2 + 24x2 + 8x4 + -8x4 Combine like terms: 6 + -6 = 0 -6 + 24x2 + -8x4 = 0 + -24x2 + 24x2 + 8x4 + -8x4 -6 + 24x2 + -8x4 = -24x2 + 24x2 + 8x4 + -8x4 Combine like terms: -24x2 + 24x2 = 0 -6 + 24x2 + -8x4 = 0 + 8x4 + -8x4 -6 + 24x2 + -8x4 = 8x4 + -8x4 Combine like terms: 8x4 + -8x4 = 0 -6 + 24x2 + -8x4 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 12x2 + -4x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 12x2 + -4x4)' equal to zero and attempt to solve: Simplifying -3 + 12x2 + -4x4 = 0 Solving -3 + 12x2 + -4x4 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 0.75 + -3x2 + x4 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -3x2 + -0.75 + x4 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -3x2 + x4 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -3x2 + x4 = 0 + -0.75 -3x2 + x4 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -3x2 + x4 = -0.75 The x term is -3x2. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x2 + 2.25 + x4 = -0.75 + 2.25 Reorder the terms: 2.25 + -3x2 + x4 = -0.75 + 2.25 Combine like terms: -0.75 + 2.25 = 1.5 2.25 + -3x2 + x4 = 1.5 Factor a perfect square on the left side: (x2 + -1.5)(x2 + -1.5) = 1.5 Calculate the square root of the right side: 1.224744871 Break this problem into two subproblems by setting (x2 + -1.5) equal to 1.224744871 and -1.224744871.Subproblem 1
x2 + -1.5 = 1.224744871 Simplifying x2 + -1.5 = 1.224744871 Reorder the terms: -1.5 + x2 = 1.224744871 Solving -1.5 + x2 = 1.224744871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x2 = 1.224744871 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x2 = 1.224744871 + 1.5 x2 = 1.224744871 + 1.5 Combine like terms: 1.224744871 + 1.5 = 2.724744871 x2 = 2.724744871 Simplifying x2 = 2.724744871 Take the square root of each side: x = {-1.650680124, 1.650680124}Subproblem 2
x2 + -1.5 = -1.224744871 Simplifying x2 + -1.5 = -1.224744871 Reorder the terms: -1.5 + x2 = -1.224744871 Solving -1.5 + x2 = -1.224744871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x2 = -1.224744871 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x2 = -1.224744871 + 1.5 x2 = -1.224744871 + 1.5 Combine like terms: -1.224744871 + 1.5 = 0.275255129 x2 = 0.275255129 Simplifying x2 = 0.275255129 Take the square root of each side: x = {-0.524647624, 0.524647624}Solution
The solution to the problem is based on the solutions from the subproblems. x = {-1.650680124, 1.650680124, -0.524647624, 0.524647624}Solution
x = {-1.650680124, 1.650680124, -0.524647624, 0.524647624}
| 8a+2(a-7)= | | u^2-5u+1=0 | | 3m^2-8m-35=0 | | -10+(3p+10)=18 | | (5v+4)(3v-6)= | | 2y^2-xy+x-3x^2+2=0 | | 5x-5x=3 | | -7-2(-7x+3)=4 | | 3m^2-7m=3 | | 5x+2(x-1)=3x | | 6y=x+18 | | -4x-2y=9 | | x^2+32/50=0 | | (2m^-5/3n^9)^5 | | 7x+14x=9 | | 2(t-3)-5(2t+2)=-4t | | 1/4(2B-12)+B | | x^2/25-1=11 | | 0.5f^2-16=0 | | 2^10/4^-2 | | 4(a+1/2)=8(a+3/4) | | 2y+2x=-16 | | y^2-15y+42=0 | | (3x+3)(x+4)= | | 7k-2(k+6)=-22 | | 3n+.50n=42 | | -5(2c+3)=-13+4c | | t+0.5=0.25t+2 | | 3x^2+11=-2x | | 3x^2+11=-2z | | y=x^2-10x-9 | | 10cos(x)-2=0 |