If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -120x + 45 = 0 Reorder the terms: 45 + -120x + 6x2 = 0 Solving 45 + -120x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -40x + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(15 + -40x + 2x2)' equal to zero and attempt to solve: Simplifying 15 + -40x + 2x2 = 0 Solving 15 + -40x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + -20x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -20x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -20x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -20x + x2 = 0 + -7.5 -20x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -20x + x2 = -7.5 The x term is -20x. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20x + 100 + x2 = -7.5 + 100 Reorder the terms: 100 + -20x + x2 = -7.5 + 100 Combine like terms: -7.5 + 100 = 92.5 100 + -20x + x2 = 92.5 Factor a perfect square on the left side: (x + -10)(x + -10) = 92.5 Calculate the square root of the right side: 9.617692031 Break this problem into two subproblems by setting (x + -10) equal to 9.617692031 and -9.617692031.Subproblem 1
x + -10 = 9.617692031 Simplifying x + -10 = 9.617692031 Reorder the terms: -10 + x = 9.617692031 Solving -10 + x = 9.617692031 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 9.617692031 + 10 Combine like terms: -10 + 10 = 0 0 + x = 9.617692031 + 10 x = 9.617692031 + 10 Combine like terms: 9.617692031 + 10 = 19.617692031 x = 19.617692031 Simplifying x = 19.617692031Subproblem 2
x + -10 = -9.617692031 Simplifying x + -10 = -9.617692031 Reorder the terms: -10 + x = -9.617692031 Solving -10 + x = -9.617692031 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = -9.617692031 + 10 Combine like terms: -10 + 10 = 0 0 + x = -9.617692031 + 10 x = -9.617692031 + 10 Combine like terms: -9.617692031 + 10 = 0.382307969 x = 0.382307969 Simplifying x = 0.382307969Solution
The solution to the problem is based on the solutions from the subproblems. x = {19.617692031, 0.382307969}Solution
x = {19.617692031, 0.382307969}
| -4x+3(x-5)=31 | | 20=-4+6y | | 3a+1=3.6a(a-1) | | 200+25x=35x+150 | | 6y-3y-5=9y-10 | | 5qr+4t=7 | | -2-2(x-3)+4x=-(-x+1) | | 4x+6+x-9=32 | | 12+2r=76 | | 24x^2-73x=-1 | | 10x+60=360 | | -8xy+2=8d | | 3x+2.4=7.6 | | -5=1/2n | | 12a+5b=52 | | 9ab-6c=4d | | 9x-4(2-x)=7x+16 | | 11s+7t=97 | | 12a+5b=526 | | x^2+2x=108 | | x^2+11x=13 | | (100*x)*0.1=100 | | F(3a)=2x^2-3x+1 | | 35=7(3x-1) | | 5x+2-3x=5+2x-3 | | -xy-42=7w | | 2x+y-3z=7 | | 5(e+7)=11 | | 2(z-4)=0.5(3z-1) | | 8y+8x=-4 | | 38=-6v-7v-27 | | 8. 4(y+3)=24 |