If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -30x2 + -33x + 72 = 0 Reorder the terms: 72 + -33x + -30x2 = 0 Solving 72 + -33x + -30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(24 + -11x + -10x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(24 + -11x + -10x2)' equal to zero and attempt to solve: Simplifying 24 + -11x + -10x2 = 0 Solving 24 + -11x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. -2.4 + 1.1x + x2 = 0.0 Move the constant term to the right: Add '2.4' to each side of the equation. -2.4 + 1.1x + 2.4 + x2 = 0.0 + 2.4 Reorder the terms: -2.4 + 2.4 + 1.1x + x2 = 0.0 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 1.1x + x2 = 0.0 + 2.4 1.1x + x2 = 0.0 + 2.4 Combine like terms: 0.0 + 2.4 = 2.4 1.1x + x2 = 2.4 The x term is 1.1x. Take half its coefficient (0.55). Square it (0.3025) and add it to both sides. Add '0.3025' to each side of the equation. 1.1x + 0.3025 + x2 = 2.4 + 0.3025 Reorder the terms: 0.3025 + 1.1x + x2 = 2.4 + 0.3025 Combine like terms: 2.4 + 0.3025 = 2.7025 0.3025 + 1.1x + x2 = 2.7025 Factor a perfect square on the left side: (x + 0.55)(x + 0.55) = 2.7025 Calculate the square root of the right side: 1.643928222 Break this problem into two subproblems by setting (x + 0.55) equal to 1.643928222 and -1.643928222.Subproblem 1
x + 0.55 = 1.643928222 Simplifying x + 0.55 = 1.643928222 Reorder the terms: 0.55 + x = 1.643928222 Solving 0.55 + x = 1.643928222 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55' to each side of the equation. 0.55 + -0.55 + x = 1.643928222 + -0.55 Combine like terms: 0.55 + -0.55 = 0.00 0.00 + x = 1.643928222 + -0.55 x = 1.643928222 + -0.55 Combine like terms: 1.643928222 + -0.55 = 1.093928222 x = 1.093928222 Simplifying x = 1.093928222Subproblem 2
x + 0.55 = -1.643928222 Simplifying x + 0.55 = -1.643928222 Reorder the terms: 0.55 + x = -1.643928222 Solving 0.55 + x = -1.643928222 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55' to each side of the equation. 0.55 + -0.55 + x = -1.643928222 + -0.55 Combine like terms: 0.55 + -0.55 = 0.00 0.00 + x = -1.643928222 + -0.55 x = -1.643928222 + -0.55 Combine like terms: -1.643928222 + -0.55 = -2.193928222 x = -2.193928222 Simplifying x = -2.193928222Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.093928222, -2.193928222}Solution
x = {1.093928222, -2.193928222}
| x=2*1250^(1/5) | | 7+5+x=23 | | 7d^2+2d-2=0 | | 3a+2(a-5)=4a-2 | | -3(4x-9)=-24 | | 1/3x^4-27 | | -155m+20m^2=40 | | -5(6a+2)=15 | | 8x^2-17x+9=0 | | 2bc+3ab+2-5bc= | | 3q^2-33q+72=0 | | 3n-2=-1/2 | | -x-9=-12 | | 18x^2+14x+14=0 | | -170q=90-20q^2 | | 10k^2+33k+20=0 | | 2m^2+20m+42=0 | | e^4x+3=6 | | 2n^2-4n-16=0 | | 200=(x)5/200 | | 9k^2-65k-56=0 | | 6x-19=73 | | 2t^2+20t+50=0 | | 3k-6=-2 | | 48b^2-12b-90=0 | | 1/2(6x-8)=3x-8 | | 9z^2-75z+24=0 | | 26/x+7 | | 5a*2-2y/x+4 | | -6X+3Y=11 | | k^2+3k-70=0 | | 7cd-8dc+3cd-2cd= |