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Simplifying 6x8 + 26x5 + -26x2 = 0 Reorder the terms: -26x2 + 26x5 + 6x8 = 0 Solving -26x2 + 26x5 + 6x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-13 + 13x3 + 3x6) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-13 + 13x3 + 3x6)' equal to zero and attempt to solve: Simplifying -13 + 13x3 + 3x6 = 0 Solving -13 + 13x3 + 3x6 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -4.333333333 + 4.333333333x3 + x6 = 0 Move the constant term to the right: Add '4.333333333' to each side of the equation. -4.333333333 + 4.333333333x3 + 4.333333333 + x6 = 0 + 4.333333333 Reorder the terms: -4.333333333 + 4.333333333 + 4.333333333x3 + x6 = 0 + 4.333333333 Combine like terms: -4.333333333 + 4.333333333 = 0.000000000 0.000000000 + 4.333333333x3 + x6 = 0 + 4.333333333 4.333333333x3 + x6 = 0 + 4.333333333 Combine like terms: 0 + 4.333333333 = 4.333333333 4.333333333x3 + x6 = 4.333333333 The x term is 4.333333333x3. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333x3 + 4.694444446 + x6 = 4.333333333 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333x3 + x6 = 4.333333333 + 4.694444446 Combine like terms: 4.333333333 + 4.694444446 = 9.027777779 4.694444446 + 4.333333333x3 + x6 = 9.027777779 Factor a perfect square on the left side: (x3 + 2.166666667)(x3 + 2.166666667) = 9.027777779 Calculate the square root of the right side: 3.004626063 Break this problem into two subproblems by setting (x3 + 2.166666667) equal to 3.004626063 and -3.004626063.Subproblem 1
x3 + 2.166666667 = 3.004626063 Simplifying x3 + 2.166666667 = 3.004626063 Reorder the terms: 2.166666667 + x3 = 3.004626063 Solving 2.166666667 + x3 = 3.004626063 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.166666667' to each side of the equation. 2.166666667 + -2.166666667 + x3 = 3.004626063 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + x3 = 3.004626063 + -2.166666667 x3 = 3.004626063 + -2.166666667 Combine like terms: 3.004626063 + -2.166666667 = 0.837959396 x3 = 0.837959396 Simplifying x3 = 0.837959396 Reorder the terms: -0.837959396 + x3 = 0.837959396 + -0.837959396 Combine like terms: 0.837959396 + -0.837959396 = 0.000000000 -0.837959396 + x3 = 0.000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x3 + 2.166666667 = -3.004626063 Simplifying x3 + 2.166666667 = -3.004626063 Reorder the terms: 2.166666667 + x3 = -3.004626063 Solving 2.166666667 + x3 = -3.004626063 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.166666667' to each side of the equation. 2.166666667 + -2.166666667 + x3 = -3.004626063 + -2.166666667 Combine like terms: 2.166666667 + -2.166666667 = 0.000000000 0.000000000 + x3 = -3.004626063 + -2.166666667 x3 = -3.004626063 + -2.166666667 Combine like terms: -3.004626063 + -2.166666667 = -5.17129273 x3 = -5.17129273 Simplifying x3 = -5.17129273 Reorder the terms: 5.17129273 + x3 = -5.17129273 + 5.17129273 Combine like terms: -5.17129273 + 5.17129273 = 0.00000000 5.17129273 + x3 = 0.00000000 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. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| -(-9+4x)=2-4(9+x) | | H(-1)=3(-1)+2 | | 3x+20=x+16 | | x^2+7x-45=3(x-8) | | (4x+10)+7x= | | -5x+1=3x+11 | | 2x^2+19x-18=0 | | 10+2x=6+3 | | (2m-12)-(-9m-7)= | | (x+(3+5i))(x+(3-5i))=0 | | (x+(3+5i))(x-(3-5i))=0 | | 5(7-w)+5w=36 | | 3(6u+8)=16u+20 | | 3x-12=8+3x | | √(12y)1/2 | | (x+5)+x=90 | | 15*3.1415926535897932384626433832795= | | 2z(2z+1)(5z-4)= | | 6/7/42/5 | | -3(w+6)+30=3(4-w) | | 3(7-y)+2y=13 | | 32=10logx | | a-20=b | | 2y+6=-10y+30 | | 5(3v+4)=13v+32 | | 1+3(d+2)=d+2(d-4) | | x/36=12/72 | | -4(w+3)+33=4(6-w) | | 2(x-2)=-11 | | 42-6x=0 | | -294=7(6-6a) | | 6-5lnx=5 |