If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + 12x = -6 Reorder the terms: 12x + 4x2 = -6 Solving 12x + 4x2 = -6 Solving for variable 'x'. Reorder the terms: 6 + 12x + 4x2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + 6x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 6x + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 6x + 2x2 = 0 Solving 3 + 6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 3x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 3x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 3x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 3x + x2 = 0 + -1.5 3x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 3x + x2 = -1.5 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -1.5 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -1.5 + 2.25 Combine like terms: -1.5 + 2.25 = 0.75 2.25 + 3x + x2 = 0.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 0.75 Calculate the square root of the right side: 0.866025404 Break this problem into two subproblems by setting (x + 1.5) equal to 0.866025404 and -0.866025404.Subproblem 1
x + 1.5 = 0.866025404 Simplifying x + 1.5 = 0.866025404 Reorder the terms: 1.5 + x = 0.866025404 Solving 1.5 + x = 0.866025404 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0.866025404 + -1.5 x = 0.866025404 + -1.5 Combine like terms: 0.866025404 + -1.5 = -0.633974596 x = -0.633974596 Simplifying x = -0.633974596Subproblem 2
x + 1.5 = -0.866025404 Simplifying x + 1.5 = -0.866025404 Reorder the terms: 1.5 + x = -0.866025404 Solving 1.5 + x = -0.866025404 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -0.866025404 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -0.866025404 + -1.5 x = -0.866025404 + -1.5 Combine like terms: -0.866025404 + -1.5 = -2.366025404 x = -2.366025404 Simplifying x = -2.366025404Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.633974596, -2.366025404}Solution
x = {-0.633974596, -2.366025404}
| 9-10x=141-38x | | y=3x^2-12x-15 | | 5n^2+10n+5=0 | | 7x-19=51 | | 2x^2-11x-51=0 | | 130-6x=4x+20 | | 22x*x=2x-3 | | k^2-11k+14=0 | | 5+y+(3x-7)i=9-3i | | m^2-12m-28=0 | | 2(-a-8)-15=9 | | 8x^2+4x+7=0 | | 12-3b=9 | | 6x^2-47x+15= | | 4(g-3)+1=5 | | -3(x-4)=-4x | | u^2-5u-6=0 | | 12r^2+11=0 | | 3x+34=13x-76 | | 12+2x=34 | | -13x-18=96 | | .3333k-4=9 | | 3(x-1)-2(x^2+2x+3)-5(x+7)= | | (X-17.7)+19.6=27.8whatisx | | (X-17.7)+19.6=27.8whatisc | | 49g-30+1=5 | | 7x-3=5x | | 10x-6=x+5 | | -13x-14=131 | | 5t-(4-8t)=0 | | 8x^2+33x+4= | | 8x^2+33x+8= |