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Simplifying 99x8 + 63x5 + -45x2 = 0 Reorder the terms: -45x2 + 63x5 + 99x8 = 0 Solving -45x2 + 63x5 + 99x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x2'. 9x2(-5 + 7x3 + 11x6) = 0 Ignore the factor 9.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 '(-5 + 7x3 + 11x6)' equal to zero and attempt to solve: Simplifying -5 + 7x3 + 11x6 = 0 Solving -5 + 7x3 + 11x6 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. -0.4545454545 + 0.6363636364x3 + x6 = 0 Move the constant term to the right: Add '0.4545454545' to each side of the equation. -0.4545454545 + 0.6363636364x3 + 0.4545454545 + x6 = 0 + 0.4545454545 Reorder the terms: -0.4545454545 + 0.4545454545 + 0.6363636364x3 + x6 = 0 + 0.4545454545 Combine like terms: -0.4545454545 + 0.4545454545 = 0.0000000000 0.0000000000 + 0.6363636364x3 + x6 = 0 + 0.4545454545 0.6363636364x3 + x6 = 0 + 0.4545454545 Combine like terms: 0 + 0.4545454545 = 0.4545454545 0.6363636364x3 + x6 = 0.4545454545 The x term is 0.6363636364x3. Take half its coefficient (0.3181818182). Square it (0.1012396694) and add it to both sides. Add '0.1012396694' to each side of the equation. 0.6363636364x3 + 0.1012396694 + x6 = 0.4545454545 + 0.1012396694 Reorder the terms: 0.1012396694 + 0.6363636364x3 + x6 = 0.4545454545 + 0.1012396694 Combine like terms: 0.4545454545 + 0.1012396694 = 0.5557851239 0.1012396694 + 0.6363636364x3 + x6 = 0.5557851239 Factor a perfect square on the left side: (x3 + 0.3181818182)(x3 + 0.3181818182) = 0.5557851239 Calculate the square root of the right side: 0.745509976 Break this problem into two subproblems by setting (x3 + 0.3181818182) equal to 0.745509976 and -0.745509976.Subproblem 1
x3 + 0.3181818182 = 0.745509976 Simplifying x3 + 0.3181818182 = 0.745509976 Reorder the terms: 0.3181818182 + x3 = 0.745509976 Solving 0.3181818182 + x3 = 0.745509976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3181818182' to each side of the equation. 0.3181818182 + -0.3181818182 + x3 = 0.745509976 + -0.3181818182 Combine like terms: 0.3181818182 + -0.3181818182 = 0.0000000000 0.0000000000 + x3 = 0.745509976 + -0.3181818182 x3 = 0.745509976 + -0.3181818182 Combine like terms: 0.745509976 + -0.3181818182 = 0.4273281578 x3 = 0.4273281578 Simplifying x3 = 0.4273281578 Reorder the terms: -0.4273281578 + x3 = 0.4273281578 + -0.4273281578 Combine like terms: 0.4273281578 + -0.4273281578 = 0.0000000000 -0.4273281578 + x3 = 0.0000000000 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x3 + 0.3181818182 = -0.745509976 Simplifying x3 + 0.3181818182 = -0.745509976 Reorder the terms: 0.3181818182 + x3 = -0.745509976 Solving 0.3181818182 + x3 = -0.745509976 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3181818182' to each side of the equation. 0.3181818182 + -0.3181818182 + x3 = -0.745509976 + -0.3181818182 Combine like terms: 0.3181818182 + -0.3181818182 = 0.0000000000 0.0000000000 + x3 = -0.745509976 + -0.3181818182 x3 = -0.745509976 + -0.3181818182 Combine like terms: -0.745509976 + -0.3181818182 = -1.0636917942 x3 = -1.0636917942 Simplifying x3 = -1.0636917942 Reorder the terms: 1.0636917942 + x3 = -1.0636917942 + 1.0636917942 Combine like terms: -1.0636917942 + 1.0636917942 = 0.0000000000 1.0636917942 + x3 = 0.0000000000 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}
| -3+4(-6y-2)=4(2y-1)+3 | | y-10=-1(x-4) | | -25y+25y=-(22y+15)+10+22 | | 3x-10=5x+14 | | -33k=19 | | B+(-11)=6 | | x/3+7=11 | | -2*(-8)+4y=-8 | | -12(m-4)=240 | | -2m+8=4 | | -1v-6= | | 3x(4x+5)-5(4x+5)=0 | | (5x-2)-(6-2X)=-x-9+5x | | 4-(-72/18) | | 0.5/n=2.5/4.5 | | 2x-2/4+3=6 | | y^2-y= | | 3x*x+18x+23=2x*x+12x+14 | | -5/6a=5/8 | | 5x+4=8x-2 | | 8+x-5=12 | | .5(x+4)+3=2x(.22+.75) | | -2(3x-4)=8 | | x+3x+5x+7x+9x+11x+13x+15x+17x=162 | | 7x+y=23 | | (x-3)-(2x+5)=2x-7-3x | | m(x)=-5x^3+8x+4 | | X/4+4=19 | | m-99=-9 | | 8=8v-16 | | x/20=52.5/75 | | x/75=27/100 |