If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + -1)(3x + 5) = 5x Reorder the terms: (-1 + 3x)(3x + 5) = 5x Reorder the terms: (-1 + 3x)(5 + 3x) = 5x Multiply (-1 + 3x) * (5 + 3x) (-1(5 + 3x) + 3x * (5 + 3x)) = 5x ((5 * -1 + 3x * -1) + 3x * (5 + 3x)) = 5x ((-5 + -3x) + 3x * (5 + 3x)) = 5x (-5 + -3x + (5 * 3x + 3x * 3x)) = 5x (-5 + -3x + (15x + 9x2)) = 5x Combine like terms: -3x + 15x = 12x (-5 + 12x + 9x2) = 5x Solving -5 + 12x + 9x2 = 5x Solving for variable 'x'. Reorder the terms: -5 + 12x + -5x + 9x2 = 5x + -5x Combine like terms: 12x + -5x = 7x -5 + 7x + 9x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 7x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -0.5555555556 + 0.7777777778x + x2 = 0 Move the constant term to the right: Add '0.5555555556' to each side of the equation. -0.5555555556 + 0.7777777778x + 0.5555555556 + x2 = 0 + 0.5555555556 Reorder the terms: -0.5555555556 + 0.5555555556 + 0.7777777778x + x2 = 0 + 0.5555555556 Combine like terms: -0.5555555556 + 0.5555555556 = 0.0000000000 0.0000000000 + 0.7777777778x + x2 = 0 + 0.5555555556 0.7777777778x + x2 = 0 + 0.5555555556 Combine like terms: 0 + 0.5555555556 = 0.5555555556 0.7777777778x + x2 = 0.5555555556 The x term is 0.7777777778x. Take half its coefficient (0.3888888889). Square it (0.1512345679) and add it to both sides. Add '0.1512345679' to each side of the equation. 0.7777777778x + 0.1512345679 + x2 = 0.5555555556 + 0.1512345679 Reorder the terms: 0.1512345679 + 0.7777777778x + x2 = 0.5555555556 + 0.1512345679 Combine like terms: 0.5555555556 + 0.1512345679 = 0.7067901235 0.1512345679 + 0.7777777778x + x2 = 0.7067901235 Factor a perfect square on the left side: (x + 0.3888888889)(x + 0.3888888889) = 0.7067901235 Calculate the square root of the right side: 0.840708108 Break this problem into two subproblems by setting (x + 0.3888888889) equal to 0.840708108 and -0.840708108.Subproblem 1
x + 0.3888888889 = 0.840708108 Simplifying x + 0.3888888889 = 0.840708108 Reorder the terms: 0.3888888889 + x = 0.840708108 Solving 0.3888888889 + x = 0.840708108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3888888889' to each side of the equation. 0.3888888889 + -0.3888888889 + x = 0.840708108 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + x = 0.840708108 + -0.3888888889 x = 0.840708108 + -0.3888888889 Combine like terms: 0.840708108 + -0.3888888889 = 0.4518192191 x = 0.4518192191 Simplifying x = 0.4518192191Subproblem 2
x + 0.3888888889 = -0.840708108 Simplifying x + 0.3888888889 = -0.840708108 Reorder the terms: 0.3888888889 + x = -0.840708108 Solving 0.3888888889 + x = -0.840708108 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3888888889' to each side of the equation. 0.3888888889 + -0.3888888889 + x = -0.840708108 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + x = -0.840708108 + -0.3888888889 x = -0.840708108 + -0.3888888889 Combine like terms: -0.840708108 + -0.3888888889 = -1.2295969969 x = -1.2295969969 Simplifying x = -1.2295969969Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.4518192191, -1.2295969969}
| 5x=2x+53 | | 2b=3a+ab | | X^2+30=20x-70 | | (3x-1)(3x+5)=x | | 4w+7-6w+2= | | 6.80+.90t=7.30+.65t | | 4p+30+130p= | | 4(x^2-6)-22=150 | | (x-3)2+(y+5)2=36 | | 2x-12=7+x | | .4p-6=32 | | AC=2(AB) | | .2(x-10)=-2(.1x+12) | | -2k+2=14 | | 3(k+12)=12 | | 5x-2x+3y-5y+x= | | (-4.905x^2)+12x-40=0 | | 3x^2-48=-177 | | .3x^2+14=26 | | Y=2x^4+18x^2 | | 2p+4p=48 | | (4.905x^2)+8x-40=0 | | 2z-5(z+1)=-3z+1 | | (x^3)-9(x^2)-x=-9 | | 4(y+3)-12b=116 | | 15.00+2.00x=15 | | 3x+3y=170 | | Y=-6x-1+2 | | J+9=27 | | 5x+17x=132 | | 13x-1=9x+27 | | 4x-2x*7x^2=8x |