If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8x2 + -12x + -28 = 0 Reorder the terms: -28 + -12x + 8x2 = 0 Solving -28 + -12x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + -3x + 2x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + -3x + 2x2)' equal to zero and attempt to solve: Simplifying -7 + -3x + 2x2 = 0 Solving -7 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -3.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + -1.5x + 3.5 + x2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + -1.5x + x2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -1.5x + x2 = 0 + 3.5 -1.5x + x2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 -1.5x + x2 = 3.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 3.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 3.5 + 0.5625 Combine like terms: 3.5 + 0.5625 = 4.0625 0.5625 + -1.5x + x2 = 4.0625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 4.0625 Calculate the square root of the right side: 2.015564437 Break this problem into two subproblems by setting (x + -0.75) equal to 2.015564437 and -2.015564437.Subproblem 1
x + -0.75 = 2.015564437 Simplifying x + -0.75 = 2.015564437 Reorder the terms: -0.75 + x = 2.015564437 Solving -0.75 + x = 2.015564437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 2.015564437 + 0.75 x = 2.015564437 + 0.75 Combine like terms: 2.015564437 + 0.75 = 2.765564437 x = 2.765564437 Simplifying x = 2.765564437Subproblem 2
x + -0.75 = -2.015564437 Simplifying x + -0.75 = -2.015564437 Reorder the terms: -0.75 + x = -2.015564437 Solving -0.75 + x = -2.015564437 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -2.015564437 + 0.75 x = -2.015564437 + 0.75 Combine like terms: -2.015564437 + 0.75 = -1.265564437 x = -1.265564437 Simplifying x = -1.265564437Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.765564437, -1.265564437}Solution
x = {2.765564437, -1.265564437}
| 3y+5=15 | | 5(m+2)-6(m-3)=53 | | 4a-3+5a=15 | | 4a-3+5a+5=15 | | -x^2+5x=-7 | | 3(x+2)+2(x-4)=x-3(x+3) | | 3x+8+4x-x=26 | | 11x+4=6x+29 | | 2+6(5x-1)=14 | | 12x^2+6= | | 12x^2-12x+4=0 | | (2-3y)*5+(8-y)*(-4)=0 | | (12-3x)*2=9(7x+18) | | 4(2x+3)=3(3x+2) | | -16x^2+96x+12=152 | | 3x^2=8x | | 26x^2+156x-7280=0 | | 9x^2=2x | | 5(x-4)=7 | | 4(x-4)=7 | | x(5x-2)=7 | | x(5x-6)=11 | | x(5x-2)=24 | | (x+3)(x+19)=0 | | 6x^2-6=-5x | | 15c+30=.3(102-12c) | | 49t^3-25t=0 | | a(a-7)=18 | | 64t^2-9=0 | | X^4-5x^2-4=0 | | 8x-12=5x-3 | | 0.71428571y-15=5y+30 |