If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -9x2 + 51x + -6 = 0 Reorder the terms: -6 + 51x + -9x2 = 0 Solving -6 + 51x + -9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2 + 17x + -3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + 17x + -3x2)' equal to zero and attempt to solve: Simplifying -2 + 17x + -3x2 = 0 Solving -2 + 17x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 0.6666666667 + -5.666666667x + x2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -5.666666667x + -0.6666666667 + x2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -5.666666667x + x2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -5.666666667x + x2 = 0 + -0.6666666667 -5.666666667x + x2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -5.666666667x + x2 = -0.6666666667 The x term is -5.666666667x. Take half its coefficient (-2.833333334). Square it (8.027777782) and add it to both sides. Add '8.027777782' to each side of the equation. -5.666666667x + 8.027777782 + x2 = -0.6666666667 + 8.027777782 Reorder the terms: 8.027777782 + -5.666666667x + x2 = -0.6666666667 + 8.027777782 Combine like terms: -0.6666666667 + 8.027777782 = 7.3611111153 8.027777782 + -5.666666667x + x2 = 7.3611111153 Factor a perfect square on the left side: (x + -2.833333334)(x + -2.833333334) = 7.3611111153 Calculate the square root of the right side: 2.713136767 Break this problem into two subproblems by setting (x + -2.833333334) equal to 2.713136767 and -2.713136767.Subproblem 1
x + -2.833333334 = 2.713136767 Simplifying x + -2.833333334 = 2.713136767 Reorder the terms: -2.833333334 + x = 2.713136767 Solving -2.833333334 + x = 2.713136767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.833333334' to each side of the equation. -2.833333334 + 2.833333334 + x = 2.713136767 + 2.833333334 Combine like terms: -2.833333334 + 2.833333334 = 0.000000000 0.000000000 + x = 2.713136767 + 2.833333334 x = 2.713136767 + 2.833333334 Combine like terms: 2.713136767 + 2.833333334 = 5.546470101 x = 5.546470101 Simplifying x = 5.546470101Subproblem 2
x + -2.833333334 = -2.713136767 Simplifying x + -2.833333334 = -2.713136767 Reorder the terms: -2.833333334 + x = -2.713136767 Solving -2.833333334 + x = -2.713136767 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.833333334' to each side of the equation. -2.833333334 + 2.833333334 + x = -2.713136767 + 2.833333334 Combine like terms: -2.833333334 + 2.833333334 = 0.000000000 0.000000000 + x = -2.713136767 + 2.833333334 x = -2.713136767 + 2.833333334 Combine like terms: -2.713136767 + 2.833333334 = 0.120196567 x = 0.120196567 Simplifying x = 0.120196567Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.546470101, 0.120196567}Solution
x = {5.546470101, 0.120196567}
| p^2-5pq-24q^2=0 | | x^2+12xy+27y^2=0 | | 8(1+3k)=8+4k | | 9x^2+24x+16=0 | | x^2+12x+13=0 | | x^2-3x+7=0 | | y^4+5y^2-84=0 | | x^4+11x^2-80=0 | | x^2+21-4x=0 | | 7+6(1-7v)=v+13 | | 40x=8x^2+50 | | -2v-v+12=-3v^2+6v | | 56x+x^2-x^3=0 | | 5(3n-24)=8*2n | | 32y+4y^2-y^3=0 | | 32+4y-y^2=0 | | (3x+5)3=14x | | 13x^2-9x=0 | | 3y=312 | | 56+x-x^2=0 | | -2(a+3)-a=19 | | y^2+8y+7=0 | | 15x^2+14x-49=0 | | 12x-48=87+7x | | x+x^2-90=0 | | 12+6n=6+8(-8n-8) | | 2=3-x | | 3(d+12)=(d+3)*4 | | 3=7-x | | 5x+x^2-14=0 | | (5t-3)2=(t+3)*-2 | | y^2-14y+45=0 |