If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 27216 + -288X + -374X2 = 0 Solving 27216 + -288X + -374X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(13608 + -144X + -187X2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13608 + -144X + -187X2)' equal to zero and attempt to solve: Simplifying 13608 + -144X + -187X2 = 0 Solving 13608 + -144X + -187X2 = 0 Begin completing the square. Divide all terms by -187 the coefficient of the squared term: Divide each side by '-187'. -72.77005348 + 0.7700534759X + X2 = 0 Move the constant term to the right: Add '72.77005348' to each side of the equation. -72.77005348 + 0.7700534759X + 72.77005348 + X2 = 0 + 72.77005348 Reorder the terms: -72.77005348 + 72.77005348 + 0.7700534759X + X2 = 0 + 72.77005348 Combine like terms: -72.77005348 + 72.77005348 = 0.00000000 0.00000000 + 0.7700534759X + X2 = 0 + 72.77005348 0.7700534759X + X2 = 0 + 72.77005348 Combine like terms: 0 + 72.77005348 = 72.77005348 0.7700534759X + X2 = 72.77005348 The X term is 0.7700534759X. Take half its coefficient (0.385026738). Square it (0.1482455890) and add it to both sides. Add '0.1482455890' to each side of the equation. 0.7700534759X + 0.1482455890 + X2 = 72.77005348 + 0.1482455890 Reorder the terms: 0.1482455890 + 0.7700534759X + X2 = 72.77005348 + 0.1482455890 Combine like terms: 72.77005348 + 0.1482455890 = 72.918299069 0.1482455890 + 0.7700534759X + X2 = 72.918299069 Factor a perfect square on the left side: (X + 0.385026738)(X + 0.385026738) = 72.918299069 Calculate the square root of the right side: 8.539221221 Break this problem into two subproblems by setting (X + 0.385026738) equal to 8.539221221 and -8.539221221.Subproblem 1
X + 0.385026738 = 8.539221221 Simplifying X + 0.385026738 = 8.539221221 Reorder the terms: 0.385026738 + X = 8.539221221 Solving 0.385026738 + X = 8.539221221 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.385026738' to each side of the equation. 0.385026738 + -0.385026738 + X = 8.539221221 + -0.385026738 Combine like terms: 0.385026738 + -0.385026738 = 0.000000000 0.000000000 + X = 8.539221221 + -0.385026738 X = 8.539221221 + -0.385026738 Combine like terms: 8.539221221 + -0.385026738 = 8.154194483 X = 8.154194483 Simplifying X = 8.154194483Subproblem 2
X + 0.385026738 = -8.539221221 Simplifying X + 0.385026738 = -8.539221221 Reorder the terms: 0.385026738 + X = -8.539221221 Solving 0.385026738 + X = -8.539221221 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.385026738' to each side of the equation. 0.385026738 + -0.385026738 + X = -8.539221221 + -0.385026738 Combine like terms: 0.385026738 + -0.385026738 = 0.000000000 0.000000000 + X = -8.539221221 + -0.385026738 X = -8.539221221 + -0.385026738 Combine like terms: -8.539221221 + -0.385026738 = -8.924247959 X = -8.924247959 Simplifying X = -8.924247959Solution
The solution to the problem is based on the solutions from the subproblems. X = {8.154194483, -8.924247959}Solution
X = {8.154194483, -8.924247959}
| 3x=cos*0.5x | | 2x+3x+6=16 | | .25(200)+b=23 | | 7a-2=3av | | 4.05p+4.4=4.5(p+3) | | -2x+216=180 | | 7y-8(y+1)+10(y+2)=6 | | 2x=26-2y | | (4)(3n^2)=60 | | (10m+8)-(4m-4)= | | (14p+6)-(12p+8)= | | 4x+16=9x-36 | | 2x^2+14x+49-289=0 | | 25x+y=225 | | z=2-iz | | 13+z=4+3z | | 2.5n+5=7 | | 21-2x=20-5x | | 3(1+102x)=5 | | -5(x-8)=18 | | -3(x-7)=13 | | 18x^2+60x+47=0 | | x(x+4)=-24 | | y-3y-1+2=2y+7 | | 4x+4y=-24 | | 6x^2-25x+80=0 | | 5(y-4)-y=4(y-5) | | ln(3x)+ln(x)=1.5 | | 0.17t+0.16(860-t)=92.34 | | 4x-6=-2x-16-2 | | 8k^2+4k=0 | | 4m+m=-25 |