If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3(3y2 + -3y + -7) = 0 Reorder the terms: -3(-7 + -3y + 3y2) = 0 (-7 * -3 + -3y * -3 + 3y2 * -3) = 0 (21 + 9y + -9y2) = 0 Solving 21 + 9y + -9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 3y + -3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 3y + -3y2)' equal to zero and attempt to solve: Simplifying 7 + 3y + -3y2 = 0 Solving 7 + 3y + -3y2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -2.333333333 + -1y + y2 = 0 Move the constant term to the right: Add '2.333333333' to each side of the equation. -2.333333333 + -1y + 2.333333333 + y2 = 0 + 2.333333333 Reorder the terms: -2.333333333 + 2.333333333 + -1y + y2 = 0 + 2.333333333 Combine like terms: -2.333333333 + 2.333333333 = 0.000000000 0.000000000 + -1y + y2 = 0 + 2.333333333 -1y + y2 = 0 + 2.333333333 Combine like terms: 0 + 2.333333333 = 2.333333333 -1y + y2 = 2.333333333 The y term is -1y. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1y + 0.25 + y2 = 2.333333333 + 0.25 Reorder the terms: 0.25 + -1y + y2 = 2.333333333 + 0.25 Combine like terms: 2.333333333 + 0.25 = 2.583333333 0.25 + -1y + y2 = 2.583333333 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = 2.583333333 Calculate the square root of the right side: 1.607275127 Break this problem into two subproblems by setting (y + -0.5) equal to 1.607275127 and -1.607275127.Subproblem 1
y + -0.5 = 1.607275127 Simplifying y + -0.5 = 1.607275127 Reorder the terms: -0.5 + y = 1.607275127 Solving -0.5 + y = 1.607275127 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = 1.607275127 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = 1.607275127 + 0.5 y = 1.607275127 + 0.5 Combine like terms: 1.607275127 + 0.5 = 2.107275127 y = 2.107275127 Simplifying y = 2.107275127Subproblem 2
y + -0.5 = -1.607275127 Simplifying y + -0.5 = -1.607275127 Reorder the terms: -0.5 + y = -1.607275127 Solving -0.5 + y = -1.607275127 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + y = -1.607275127 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + y = -1.607275127 + 0.5 y = -1.607275127 + 0.5 Combine like terms: -1.607275127 + 0.5 = -1.107275127 y = -1.107275127 Simplifying y = -1.107275127Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.107275127, -1.107275127}Solution
y = {2.107275127, -1.107275127}
| 2.5p+9=7.5p-21 | | 44+29w=392 | | 10+3n=34 | | N+489.50=756.80 | | 2y-12=-34 | | 2x+(6x+6)=180 | | 11+5x=-21 | | 2(2a-2)+a=6 | | h/3-1=6 | | 1.5d+3.2=9 | | x-4.1=(-1.9) | | 27=15ty | | w/5-2=2 | | x-4.1=(-9.1) | | 36-x/25=-114 | | x-7=(-4) | | .44x+3=.5555555556x-2 | | X+X-6=226 | | x+(-9)=(-6) | | 5=(10+q)2 | | 36-25/x=-114 | | 22x+11y+33z= | | m/9=42 | | x-(-9.9)=(-7.9) | | 12x+7y-2x+8y=3(4+x) | | 10-3(-3)=5(-3)-17 | | 1=n/7-2 | | 376h+12=280h+15 | | 29-t=22 | | -2(-y+4)-5y=-17 | | x-8.1=(-3.9) | | 1/4cos(4x)*8x |