If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 15x + -13 = 0 Reorder the terms: -13 + 15x + 2x2 = 0 Solving -13 + 15x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6.5 + 7.5x + x2 = 0 Move the constant term to the right: Add '6.5' to each side of the equation. -6.5 + 7.5x + 6.5 + x2 = 0 + 6.5 Reorder the terms: -6.5 + 6.5 + 7.5x + x2 = 0 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 7.5x + x2 = 0 + 6.5 7.5x + x2 = 0 + 6.5 Combine like terms: 0 + 6.5 = 6.5 7.5x + x2 = 6.5 The x term is 7.5x. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5x + 14.0625 + x2 = 6.5 + 14.0625 Reorder the terms: 14.0625 + 7.5x + x2 = 6.5 + 14.0625 Combine like terms: 6.5 + 14.0625 = 20.5625 14.0625 + 7.5x + x2 = 20.5625 Factor a perfect square on the left side: (x + 3.75)(x + 3.75) = 20.5625 Calculate the square root of the right side: 4.534589287 Break this problem into two subproblems by setting (x + 3.75) equal to 4.534589287 and -4.534589287.Subproblem 1
x + 3.75 = 4.534589287 Simplifying x + 3.75 = 4.534589287 Reorder the terms: 3.75 + x = 4.534589287 Solving 3.75 + x = 4.534589287 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = 4.534589287 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = 4.534589287 + -3.75 x = 4.534589287 + -3.75 Combine like terms: 4.534589287 + -3.75 = 0.784589287 x = 0.784589287 Simplifying x = 0.784589287Subproblem 2
x + 3.75 = -4.534589287 Simplifying x + 3.75 = -4.534589287 Reorder the terms: 3.75 + x = -4.534589287 Solving 3.75 + x = -4.534589287 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + x = -4.534589287 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + x = -4.534589287 + -3.75 x = -4.534589287 + -3.75 Combine like terms: -4.534589287 + -3.75 = -8.284589287 x = -8.284589287 Simplifying x = -8.284589287Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.784589287, -8.284589287}
| 235-5x=31x+23 | | 3x-2=13x-67 | | ab-3c-ac+3b= | | 2x-2=13x-62 | | x^2+3x-6.75=0 | | 1/9(x+13)1/3(2x+3)=x+3 | | 4x-25=15 | | a+2b+5a+7b= | | 20x/32 | | 19x+17y=23 | | 6p-2=3p | | 2x+25+3x+14= | | 2x+15=34-x | | 7s^2-14st+7t^2=0 | | 0=(y-3)(y+2) | | 6(2-3w)=2w+2 | | 12x-7=10x+9 | | f(x)=x^4-8x^3+23x^2-28x+12 | | 6(2-3)=2w+2 | | 0=4b(b+4) | | 4b(b+4)=o | | (-5,6),(7,-8)= | | (13,6),(3,-5)= | | (2,-1),(-8,-2)= | | (-6,-4),(4,1)= | | 3x+5=6x^2 | | (-3,10),(-3,7)= | | (9,8),(7,-8)= | | (5,2),(6,-2)= | | (6,1),(-6,1)= | | (-4,5),(-8,-5)= | | (5,-9),(3,-2)= |