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Simplifying 5x4 + 16x2 + 4 = 0 Reorder the terms: 4 + 16x2 + 5x4 = 0 Solving 4 + 16x2 + 5x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + 3.2x2 + x4 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 3.2x2 + -0.8 + x4 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 3.2x2 + x4 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 3.2x2 + x4 = 0 + -0.8 3.2x2 + x4 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 3.2x2 + x4 = -0.8 The x term is 3.2x2. Take half its coefficient (1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. 3.2x2 + 2.56 + x4 = -0.8 + 2.56 Reorder the terms: 2.56 + 3.2x2 + x4 = -0.8 + 2.56 Combine like terms: -0.8 + 2.56 = 1.76 2.56 + 3.2x2 + x4 = 1.76 Factor a perfect square on the left side: (x2 + 1.6)(x2 + 1.6) = 1.76 Calculate the square root of the right side: 1.326649916 Break this problem into two subproblems by setting (x2 + 1.6) equal to 1.326649916 and -1.326649916.Subproblem 1
x2 + 1.6 = 1.326649916 Simplifying x2 + 1.6 = 1.326649916 Reorder the terms: 1.6 + x2 = 1.326649916 Solving 1.6 + x2 = 1.326649916 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + x2 = 1.326649916 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + x2 = 1.326649916 + -1.6 x2 = 1.326649916 + -1.6 Combine like terms: 1.326649916 + -1.6 = -0.273350084 x2 = -0.273350084 Simplifying x2 = -0.273350084 Reorder the terms: 0.273350084 + x2 = -0.273350084 + 0.273350084 Combine like terms: -0.273350084 + 0.273350084 = 0.000000000 0.273350084 + x2 = 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
x2 + 1.6 = -1.326649916 Simplifying x2 + 1.6 = -1.326649916 Reorder the terms: 1.6 + x2 = -1.326649916 Solving 1.6 + x2 = -1.326649916 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6' to each side of the equation. 1.6 + -1.6 + x2 = -1.326649916 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + x2 = -1.326649916 + -1.6 x2 = -1.326649916 + -1.6 Combine like terms: -1.326649916 + -1.6 = -2.926649916 x2 = -2.926649916 Simplifying x2 = -2.926649916 Reorder the terms: 2.926649916 + x2 = -2.926649916 + 2.926649916 Combine like terms: -2.926649916 + 2.926649916 = 0.000000000 2.926649916 + x2 = 0.000000000 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.
| X^2-18x=80 | | 4*(3c-5)=5c-22 | | M-0.44m= | | 5x+226=13x-6 | | 3p-4=p+2 | | -5(u+2)=-5(5u-1)+8 | | V=1200(850)(480)CM^3 | | -5y-3x+5z= | | -5(u+2)=-5(5u-1)+8u | | A=472.44(334.65)IN^2 | | 4u-47=-9(u-2) | | 6u-12=-6(u-4) | | 5a-4b+3= | | -8(w-4)=2w-38 | | A=1200(850)CM^2 | | 2(x+20)=3x | | 4x-12=82 | | -9=-7y+4(y-6) | | (k+3)x^2-2(k+1)x-(k+1)=0 | | A=CM^2 | | -33=6w+3(w+4) | | (5y+2)-5= | | 2(-2-4p)+2(-2p-1)= | | 2(u-4)+4u=-38 | | A=1200(850) | | -20=2(v+5)-8v | | x^4=-4x^2 | | 3(x-1)(x-8)=0 | | 3z+1=z+3 | | 12x-5=3x+3 | | 5(10k+1)+2(2+8)= | | K^2+K=200 |