If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + -5)(3x + 2) + -6 = 7 Reorder the terms: (-5 + 4x)(3x + 2) + -6 = 7 Reorder the terms: (-5 + 4x)(2 + 3x) + -6 = 7 Multiply (-5 + 4x) * (2 + 3x) (-5(2 + 3x) + 4x * (2 + 3x)) + -6 = 7 ((2 * -5 + 3x * -5) + 4x * (2 + 3x)) + -6 = 7 ((-10 + -15x) + 4x * (2 + 3x)) + -6 = 7 (-10 + -15x + (2 * 4x + 3x * 4x)) + -6 = 7 (-10 + -15x + (8x + 12x2)) + -6 = 7 Combine like terms: -15x + 8x = -7x (-10 + -7x + 12x2) + -6 = 7 Reorder the terms: -10 + -6 + -7x + 12x2 = 7 Combine like terms: -10 + -6 = -16 -16 + -7x + 12x2 = 7 Solving -16 + -7x + 12x2 = 7 Solving for variable 'x'. Reorder the terms: -16 + -7 + -7x + 12x2 = 7 + -7 Combine like terms: -16 + -7 = -23 -23 + -7x + 12x2 = 7 + -7 Combine like terms: 7 + -7 = 0 -23 + -7x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -1.916666667 + -0.5833333333x + x2 = 0 Move the constant term to the right: Add '1.916666667' to each side of the equation. -1.916666667 + -0.5833333333x + 1.916666667 + x2 = 0 + 1.916666667 Reorder the terms: -1.916666667 + 1.916666667 + -0.5833333333x + x2 = 0 + 1.916666667 Combine like terms: -1.916666667 + 1.916666667 = 0.000000000 0.000000000 + -0.5833333333x + x2 = 0 + 1.916666667 -0.5833333333x + x2 = 0 + 1.916666667 Combine like terms: 0 + 1.916666667 = 1.916666667 -0.5833333333x + x2 = 1.916666667 The x term is -0.5833333333x. Take half its coefficient (-0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. -0.5833333333x + 0.08506944446 + x2 = 1.916666667 + 0.08506944446 Reorder the terms: 0.08506944446 + -0.5833333333x + x2 = 1.916666667 + 0.08506944446 Combine like terms: 1.916666667 + 0.08506944446 = 2.00173611146 0.08506944446 + -0.5833333333x + x2 = 2.00173611146 Factor a perfect square on the left side: (x + -0.2916666667)(x + -0.2916666667) = 2.00173611146 Calculate the square root of the right side: 1.414827237 Break this problem into two subproblems by setting (x + -0.2916666667) equal to 1.414827237 and -1.414827237.Subproblem 1
x + -0.2916666667 = 1.414827237 Simplifying x + -0.2916666667 = 1.414827237 Reorder the terms: -0.2916666667 + x = 1.414827237 Solving -0.2916666667 + x = 1.414827237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2916666667' to each side of the equation. -0.2916666667 + 0.2916666667 + x = 1.414827237 + 0.2916666667 Combine like terms: -0.2916666667 + 0.2916666667 = 0.0000000000 0.0000000000 + x = 1.414827237 + 0.2916666667 x = 1.414827237 + 0.2916666667 Combine like terms: 1.414827237 + 0.2916666667 = 1.7064939037 x = 1.7064939037 Simplifying x = 1.7064939037Subproblem 2
x + -0.2916666667 = -1.414827237 Simplifying x + -0.2916666667 = -1.414827237 Reorder the terms: -0.2916666667 + x = -1.414827237 Solving -0.2916666667 + x = -1.414827237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2916666667' to each side of the equation. -0.2916666667 + 0.2916666667 + x = -1.414827237 + 0.2916666667 Combine like terms: -0.2916666667 + 0.2916666667 = 0.0000000000 0.0000000000 + x = -1.414827237 + 0.2916666667 x = -1.414827237 + 0.2916666667 Combine like terms: -1.414827237 + 0.2916666667 = -1.1231605703 x = -1.1231605703 Simplifying x = -1.1231605703Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.7064939037, -1.1231605703}
| 84=(x)*(x+4) | | -2(-4k-2)=-4 | | 78-9x=177 | | 3-13x=6(x^2-2) | | x/5+17=-3 | | -10-14a-7-(4a)= | | 0.3333z=3z-0.8 | | 9y-7/3-7y-6/6=17 | | N/3x3=81 | | 2y=3x-11 | | 1-6r=-7(-1+r) | | 1/2(8*1-6)=1 | | x^2+5+19=11x | | 2x+1+x^2=0 | | x/4-x/2=12+3x/8 | | f=10(x-60)+60 | | 1/4t=-4 | | x/-2-3=4 | | n+n+2+n+4=-147 | | x^2-4=25 | | A=1/2(b^1+b^2)h | | 6/x=2/10+x | | (x+5)=(3x-7) | | 6+v/-8 | | 3.2x-1.7x+5+5=10 | | 9p-6/3 | | 3(4x-7)+8=6(2x+5)-17 | | -(9/2)=(5/4)n+n | | (2t^2-6t+4)/(4t^2+12-16) | | aoverb=cforb | | 10d/5=10 | | (1+4)*(1+5)= |