If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + -32x = -65 Reorder the terms: -32x + 3x2 = -65 Solving -32x + 3x2 = -65 Solving for variable 'x'. Reorder the terms: 65 + -32x + 3x2 = -65 + 65 Combine like terms: -65 + 65 = 0 65 + -32x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 21.66666667 + -10.66666667x + x2 = 0 Move the constant term to the right: Add '-21.66666667' to each side of the equation. 21.66666667 + -10.66666667x + -21.66666667 + x2 = 0 + -21.66666667 Reorder the terms: 21.66666667 + -21.66666667 + -10.66666667x + x2 = 0 + -21.66666667 Combine like terms: 21.66666667 + -21.66666667 = 0.00000000 0.00000000 + -10.66666667x + x2 = 0 + -21.66666667 -10.66666667x + x2 = 0 + -21.66666667 Combine like terms: 0 + -21.66666667 = -21.66666667 -10.66666667x + x2 = -21.66666667 The x term is -10.66666667x. Take half its coefficient (-5.333333335). Square it (28.44444446) and add it to both sides. Add '28.44444446' to each side of the equation. -10.66666667x + 28.44444446 + x2 = -21.66666667 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667x + x2 = -21.66666667 + 28.44444446 Combine like terms: -21.66666667 + 28.44444446 = 6.77777779 28.44444446 + -10.66666667x + x2 = 6.77777779 Factor a perfect square on the left side: (x + -5.333333335)(x + -5.333333335) = 6.77777779 Calculate the square root of the right side: 2.603416561 Break this problem into two subproblems by setting (x + -5.333333335) equal to 2.603416561 and -2.603416561.Subproblem 1
x + -5.333333335 = 2.603416561 Simplifying x + -5.333333335 = 2.603416561 Reorder the terms: -5.333333335 + x = 2.603416561 Solving -5.333333335 + x = 2.603416561 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.333333335' to each side of the equation. -5.333333335 + 5.333333335 + x = 2.603416561 + 5.333333335 Combine like terms: -5.333333335 + 5.333333335 = 0.000000000 0.000000000 + x = 2.603416561 + 5.333333335 x = 2.603416561 + 5.333333335 Combine like terms: 2.603416561 + 5.333333335 = 7.936749896 x = 7.936749896 Simplifying x = 7.936749896Subproblem 2
x + -5.333333335 = -2.603416561 Simplifying x + -5.333333335 = -2.603416561 Reorder the terms: -5.333333335 + x = -2.603416561 Solving -5.333333335 + x = -2.603416561 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.333333335' to each side of the equation. -5.333333335 + 5.333333335 + x = -2.603416561 + 5.333333335 Combine like terms: -5.333333335 + 5.333333335 = 0.000000000 0.000000000 + x = -2.603416561 + 5.333333335 x = -2.603416561 + 5.333333335 Combine like terms: -2.603416561 + 5.333333335 = 2.729916774 x = 2.729916774 Simplifying x = 2.729916774Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.936749896, 2.729916774}
| x+.25x=75 | | 2x-1=1.7 | | 2x^2+20x+70=0 | | Ptanx+qtanx=tanz | | 9x-4+122=180 | | (8+3)4=8*4+3*4 | | 45j+-36j-3j-45=-87 | | (4x-22)+(10x-4)+(x+11)=180 | | -8a+14b+61=0 | | 2z-z+2z-z-2=18 | | 3x+7y=-10 | | (9x+3)+(5x-2)+(11x-21)=180 | | 6x+3+75=90 | | 2a-a-a+3a-3=18 | | 1/8(4,200) | | 28x+14y=2 | | 3s-3s+s+1=13 | | 6x(2x+7)=48 | | 10j-j-2j=7 | | 4X+5=-2(X+3) | | 3x^2+18x-120= | | 25=9x+4-2x | | 3(p+2)=3(2p+4)+9 | | -3/4x=-9 | | 3(v-8)+-9=-6 | | 1-c=-7 | | -6x-5y=-27 | | 4X+5=2(-2X+4) | | -24=5g+15 | | -7m+9=26-2m | | 2(X+5)+6X=-27 | | -3x^2+18x=34 |