If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-5y2 + 4y + -7) + (3y2 + 6y + 1) = 0 Reorder the terms: (-7 + 4y + -5y2) + (3y2 + 6y + 1) = 0 Remove parenthesis around (-7 + 4y + -5y2) -7 + 4y + -5y2 + (3y2 + 6y + 1) = 0 Reorder the terms: -7 + 4y + -5y2 + (1 + 6y + 3y2) = 0 Remove parenthesis around (1 + 6y + 3y2) -7 + 4y + -5y2 + 1 + 6y + 3y2 = 0 Reorder the terms: -7 + 1 + 4y + 6y + -5y2 + 3y2 = 0 Combine like terms: -7 + 1 = -6 -6 + 4y + 6y + -5y2 + 3y2 = 0 Combine like terms: 4y + 6y = 10y -6 + 10y + -5y2 + 3y2 = 0 Combine like terms: -5y2 + 3y2 = -2y2 -6 + 10y + -2y2 = 0 Solving -6 + 10y + -2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 5y + -1y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 5y + -1y2)' equal to zero and attempt to solve: Simplifying -3 + 5y + -1y2 = 0 Solving -3 + 5y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -5y + y2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -5y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + -5y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5y + y2 = 0 + -3 -5y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5y + y2 = -3 The y term is -5y. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5y + 6.25 + y2 = -3 + 6.25 Reorder the terms: 6.25 + -5y + y2 = -3 + 6.25 Combine like terms: -3 + 6.25 = 3.25 6.25 + -5y + y2 = 3.25 Factor a perfect square on the left side: (y + -2.5)(y + -2.5) = 3.25 Calculate the square root of the right side: 1.802775638 Break this problem into two subproblems by setting (y + -2.5) equal to 1.802775638 and -1.802775638.Subproblem 1
y + -2.5 = 1.802775638 Simplifying y + -2.5 = 1.802775638 Reorder the terms: -2.5 + y = 1.802775638 Solving -2.5 + y = 1.802775638 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + y = 1.802775638 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + y = 1.802775638 + 2.5 y = 1.802775638 + 2.5 Combine like terms: 1.802775638 + 2.5 = 4.302775638 y = 4.302775638 Simplifying y = 4.302775638Subproblem 2
y + -2.5 = -1.802775638 Simplifying y + -2.5 = -1.802775638 Reorder the terms: -2.5 + y = -1.802775638 Solving -2.5 + y = -1.802775638 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + y = -1.802775638 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + y = -1.802775638 + 2.5 y = -1.802775638 + 2.5 Combine like terms: -1.802775638 + 2.5 = 0.697224362 y = 0.697224362 Simplifying y = 0.697224362Solution
The solution to the problem is based on the solutions from the subproblems. y = {4.302775638, 0.697224362}Solution
y = {4.302775638, 0.697224362}
| 4+x+12=-18 | | .17(7t-7)=t+.58 | | 0.2n=1.3n | | 30-X=40 | | 3=x+3-5k | | 3x-(-4)+4x=53 | | 4-(-X)=21 | | 5x=14x-3 | | 20.99+3.49+39.00+34.00= | | .5x+2.3x+14=-.7 | | -3-9x=3+5x | | 5k-4+k=3k-6+2k | | 4(5+5x)=5(6+5x) | | -2(x+2)+3x=15 | | 3(x+10)=41 | | X+X=-40 | | .25x-.0625+.5=.5+x | | 1=7-x | | -7p-4=2p+50 | | x^2=y^2 | | 0=7-x | | 4x-4+140=18x+10 | | 90+X=74 | | 7x+6x=42 | | 1=-7x^3+9 | | 0.18y+0.04(y+7000)=1600 | | 3w-1(w+2)=2+2(w-3) | | 2b+6=b+10 | | 8c-3c-20=40 | | 13x-7(-2+x)=-x-30 | | 6(x+3)+3x=(x-2) | | 7v+v=-4(4-3v)-2(5v+5v) |