If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -16x + -164 = 0 Reorder the terms: -164 + -16x + 6x2 = 0 Solving -164 + -16x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-82 + -8x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-82 + -8x + 3x2)' equal to zero and attempt to solve: Simplifying -82 + -8x + 3x2 = 0 Solving -82 + -8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -27.33333333 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '27.33333333' to each side of the equation. -27.33333333 + -2.666666667x + 27.33333333 + x2 = 0 + 27.33333333 Reorder the terms: -27.33333333 + 27.33333333 + -2.666666667x + x2 = 0 + 27.33333333 Combine like terms: -27.33333333 + 27.33333333 = 0.00000000 0.00000000 + -2.666666667x + x2 = 0 + 27.33333333 -2.666666667x + x2 = 0 + 27.33333333 Combine like terms: 0 + 27.33333333 = 27.33333333 -2.666666667x + x2 = 27.33333333 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = 27.33333333 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = 27.33333333 + 1.777777780 Combine like terms: 27.33333333 + 1.777777780 = 29.11111111 1.777777780 + -2.666666667x + x2 = 29.11111111 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = 29.11111111 Calculate the square root of the right side: 5.395471352 Break this problem into two subproblems by setting (x + -1.333333334) equal to 5.395471352 and -5.395471352.Subproblem 1
x + -1.333333334 = 5.395471352 Simplifying x + -1.333333334 = 5.395471352 Reorder the terms: -1.333333334 + x = 5.395471352 Solving -1.333333334 + x = 5.395471352 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = 5.395471352 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = 5.395471352 + 1.333333334 x = 5.395471352 + 1.333333334 Combine like terms: 5.395471352 + 1.333333334 = 6.728804686 x = 6.728804686 Simplifying x = 6.728804686Subproblem 2
x + -1.333333334 = -5.395471352 Simplifying x + -1.333333334 = -5.395471352 Reorder the terms: -1.333333334 + x = -5.395471352 Solving -1.333333334 + x = -5.395471352 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = -5.395471352 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = -5.395471352 + 1.333333334 x = -5.395471352 + 1.333333334 Combine like terms: -5.395471352 + 1.333333334 = -4.062138018 x = -4.062138018 Simplifying x = -4.062138018Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.728804686, -4.062138018}Solution
x = {6.728804686, -4.062138018}
| 20y-25y^2=0 | | 8-d/3=5 | | 5x+18=4x+22 | | M=5n-7h/8 | | f(7)=3x^2+5x+2 | | 15+4x=24+7x | | 6x+185=8x+202 | | 7(x+6)+x=4(x+2)+6 | | 7x+3=59-7 | | 4xy-28y-3x+21= | | 364=-7(4+7x) | | 2(2y-1)=-8(0.5-y) | | 9/2x-5= | | Ix-3I=x | | 112=7(8-8r) | | Y-7=9/2x-5= | | -8(7x-8)=344 | | 50+10x=26+2x | | 13x-10=62 | | 18+-2d-4d=60 | | -96=4(1+6m)-4 | | -7-2(4r-6)=87 | | 6y+6=-4y+10 | | -6x+35=8x-105 | | 1.5b+3.25=1+2.25d | | -5=-80 | | -3(r+4)=53 | | X+x-4=18 | | 116=-4-5(4k+4) | | (q-7)*6=36whatisq | | 3u^2=2u | | 7x-10=-38-7 |