If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -24x2 + -72x = 5 Reorder the terms: -72x + -24x2 = 5 Solving -72x + -24x2 = 5 Solving for variable 'x'. Reorder the terms: -5 + -72x + -24x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -72x + -24x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 72x + 24x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + 72x + 24x2)' equal to zero and attempt to solve: Simplifying 5 + 72x + 24x2 = 0 Solving 5 + 72x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.2083333333 + 3x + x2 = 0 Move the constant term to the right: Add '-0.2083333333' to each side of the equation. 0.2083333333 + 3x + -0.2083333333 + x2 = 0 + -0.2083333333 Reorder the terms: 0.2083333333 + -0.2083333333 + 3x + x2 = 0 + -0.2083333333 Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000 0.0000000000 + 3x + x2 = 0 + -0.2083333333 3x + x2 = 0 + -0.2083333333 Combine like terms: 0 + -0.2083333333 = -0.2083333333 3x + x2 = -0.2083333333 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 = -0.2083333333 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -0.2083333333 + 2.25 Combine like terms: -0.2083333333 + 2.25 = 2.0416666667 2.25 + 3x + x2 = 2.0416666667 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 2.0416666667 Calculate the square root of the right side: 1.428869017 Break this problem into two subproblems by setting (x + 1.5) equal to 1.428869017 and -1.428869017.Subproblem 1
x + 1.5 = 1.428869017 Simplifying x + 1.5 = 1.428869017 Reorder the terms: 1.5 + x = 1.428869017 Solving 1.5 + x = 1.428869017 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 = 1.428869017 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 1.428869017 + -1.5 x = 1.428869017 + -1.5 Combine like terms: 1.428869017 + -1.5 = -0.071130983 x = -0.071130983 Simplifying x = -0.071130983Subproblem 2
x + 1.5 = -1.428869017 Simplifying x + 1.5 = -1.428869017 Reorder the terms: 1.5 + x = -1.428869017 Solving 1.5 + x = -1.428869017 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 = -1.428869017 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -1.428869017 + -1.5 x = -1.428869017 + -1.5 Combine like terms: -1.428869017 + -1.5 = -2.928869017 x = -2.928869017 Simplifying x = -2.928869017Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.071130983, -2.928869017}Solution
x = {-0.071130983, -2.928869017}
| 2(m-3)=m+5 | | x^2+5=4x+2 | | 4(3x+1)-5=4(4x+1)-5x | | 1-6(2-H)=7 | | 5x^2-33x+150=0 | | x^2-2x+24=6x+8 | | 20(x-3)=13(x+2)-30 | | -105=7(p-7) | | 5x^2-33x+159=0 | | f(x)=3x-2atf(7) | | 15=2y-9 | | 5(1-6x)=125 | | 5(x+4)+x=2(x+1)+2 | | -2+b=4 | | -6.9r+5.53=-18.97-8.3r | | 5(x-9)-3x=4(x-3)-1 | | 4(b+4)+b=4(b-1)-2 | | x^2y-x-7y-7=0 | | 3Y-1=-7 | | 2(4x+1)=7(x+1) | | 3+x-3=7 | | 6.9v+9.44+6.55=7.69+6.4v | | (3z+5)(2+z)=0 | | -1.25+.015x=0 | | 8.1e-12= | | (-4x^2+2x+2)(0.5-x)=0 | | 2(2x+8)+9=1+2x | | 6x^2+8x^4-4x^2-x^4-2x^2= | | x^2-x+7=3x+3 | | 2n^2-4n+-1=0 | | -0.5p=-4.14-1.1p | | 2(w-1)+8=6-6w |