If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (7y2 + -8y + -10) + -1(3y2 + 2y + -9) = 0 Reorder the terms: (-10 + -8y + 7y2) + -1(3y2 + 2y + -9) = 0 Remove parenthesis around (-10 + -8y + 7y2) -10 + -8y + 7y2 + -1(3y2 + 2y + -9) = 0 Reorder the terms: -10 + -8y + 7y2 + -1(-9 + 2y + 3y2) = 0 -10 + -8y + 7y2 + (-9 * -1 + 2y * -1 + 3y2 * -1) = 0 -10 + -8y + 7y2 + (9 + -2y + -3y2) = 0 Reorder the terms: -10 + 9 + -8y + -2y + 7y2 + -3y2 = 0 Combine like terms: -10 + 9 = -1 -1 + -8y + -2y + 7y2 + -3y2 = 0 Combine like terms: -8y + -2y = -10y -1 + -10y + 7y2 + -3y2 = 0 Combine like terms: 7y2 + -3y2 = 4y2 -1 + -10y + 4y2 = 0 Solving -1 + -10y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -2.5y + y2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -2.5y + 0.25 + y2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -2.5y + y2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -2.5y + y2 = 0 + 0.25 -2.5y + y2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -2.5y + y2 = 0.25 The y term is -2.5y. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5y + 1.5625 + y2 = 0.25 + 1.5625 Reorder the terms: 1.5625 + -2.5y + y2 = 0.25 + 1.5625 Combine like terms: 0.25 + 1.5625 = 1.8125 1.5625 + -2.5y + y2 = 1.8125 Factor a perfect square on the left side: (y + -1.25)(y + -1.25) = 1.8125 Calculate the square root of the right side: 1.346291202 Break this problem into two subproblems by setting (y + -1.25) equal to 1.346291202 and -1.346291202.Subproblem 1
y + -1.25 = 1.346291202 Simplifying y + -1.25 = 1.346291202 Reorder the terms: -1.25 + y = 1.346291202 Solving -1.25 + y = 1.346291202 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + y = 1.346291202 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + y = 1.346291202 + 1.25 y = 1.346291202 + 1.25 Combine like terms: 1.346291202 + 1.25 = 2.596291202 y = 2.596291202 Simplifying y = 2.596291202Subproblem 2
y + -1.25 = -1.346291202 Simplifying y + -1.25 = -1.346291202 Reorder the terms: -1.25 + y = -1.346291202 Solving -1.25 + y = -1.346291202 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + y = -1.346291202 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + y = -1.346291202 + 1.25 y = -1.346291202 + 1.25 Combine like terms: -1.346291202 + 1.25 = -0.096291202 y = -0.096291202 Simplifying y = -0.096291202Solution
The solution to the problem is based on the solutions from the subproblems. y = {2.596291202, -0.096291202}
| 25+t=75 | | B=cd | | 42x^2-12x+8= | | 3x+8=-(x-11) | | 6-x=53 | | 3x+8=x-11 | | (7a^2-7-6a)+(-6a^3-7a^2+6a-10)= | | 10p^2-19p+7=0 | | 10p^2+19p+7=0 | | 9a-7=4a+3 | | 6+2y=0 | | -2d=-6 | | -34+2x=78+10x | | (8p^3-7p)+(9p^2-7+p)= | | 4(2+x)= | | 84=7x | | 25x^2+15x-33=0 | | v/2.1+2=6.3 | | 7.3=2g+4-5g | | (12b^3+9b^2+5b-10)+(4b^3+5b^2+11)= | | x^2-5+2=0 | | q=11-3p | | 3(h-2)=6 | | 12x+23y= | | 2h+9=11 | | 2a^2-1a-21=0 | | 55-35=y+25 | | 10x+50=0 | | 3a^2+36a+81=0 | | (8x^3-9x+2)+(9x^3+9x-7)= | | (9+w)(3w-8)=0 | | 2x-3(3x-8)=5 |