If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + -5) * 4x = 3x + 13 Reorder the terms: (-5 + 3x) * 4x = 3x + 13 Reorder the terms for easier multiplication: 4x(-5 + 3x) = 3x + 13 (-5 * 4x + 3x * 4x) = 3x + 13 (-20x + 12x2) = 3x + 13 Reorder the terms: -20x + 12x2 = 13 + 3x Solving -20x + 12x2 = 13 + 3x Solving for variable 'x'. Reorder the terms: -13 + -20x + -3x + 12x2 = 13 + 3x + -13 + -3x Combine like terms: -20x + -3x = -23x -13 + -23x + 12x2 = 13 + 3x + -13 + -3x Reorder the terms: -13 + -23x + 12x2 = 13 + -13 + 3x + -3x Combine like terms: 13 + -13 = 0 -13 + -23x + 12x2 = 0 + 3x + -3x -13 + -23x + 12x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -13 + -23x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -1.083333333 + -1.916666667x + x2 = 0 Move the constant term to the right: Add '1.083333333' to each side of the equation. -1.083333333 + -1.916666667x + 1.083333333 + x2 = 0 + 1.083333333 Reorder the terms: -1.083333333 + 1.083333333 + -1.916666667x + x2 = 0 + 1.083333333 Combine like terms: -1.083333333 + 1.083333333 = 0.000000000 0.000000000 + -1.916666667x + x2 = 0 + 1.083333333 -1.916666667x + x2 = 0 + 1.083333333 Combine like terms: 0 + 1.083333333 = 1.083333333 -1.916666667x + x2 = 1.083333333 The x term is -1.916666667x. Take half its coefficient (-0.9583333335). Square it (0.9184027781) and add it to both sides. Add '0.9184027781' to each side of the equation. -1.916666667x + 0.9184027781 + x2 = 1.083333333 + 0.9184027781 Reorder the terms: 0.9184027781 + -1.916666667x + x2 = 1.083333333 + 0.9184027781 Combine like terms: 1.083333333 + 0.9184027781 = 2.0017361111 0.9184027781 + -1.916666667x + x2 = 2.0017361111 Factor a perfect square on the left side: (x + -0.9583333335)(x + -0.9583333335) = 2.0017361111 Calculate the square root of the right side: 1.414827237 Break this problem into two subproblems by setting (x + -0.9583333335) equal to 1.414827237 and -1.414827237.Subproblem 1
x + -0.9583333335 = 1.414827237 Simplifying x + -0.9583333335 = 1.414827237 Reorder the terms: -0.9583333335 + x = 1.414827237 Solving -0.9583333335 + x = 1.414827237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9583333335' to each side of the equation. -0.9583333335 + 0.9583333335 + x = 1.414827237 + 0.9583333335 Combine like terms: -0.9583333335 + 0.9583333335 = 0.0000000000 0.0000000000 + x = 1.414827237 + 0.9583333335 x = 1.414827237 + 0.9583333335 Combine like terms: 1.414827237 + 0.9583333335 = 2.3731605705 x = 2.3731605705 Simplifying x = 2.3731605705Subproblem 2
x + -0.9583333335 = -1.414827237 Simplifying x + -0.9583333335 = -1.414827237 Reorder the terms: -0.9583333335 + x = -1.414827237 Solving -0.9583333335 + x = -1.414827237 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9583333335' to each side of the equation. -0.9583333335 + 0.9583333335 + x = -1.414827237 + 0.9583333335 Combine like terms: -0.9583333335 + 0.9583333335 = 0.0000000000 0.0000000000 + x = -1.414827237 + 0.9583333335 x = -1.414827237 + 0.9583333335 Combine like terms: -1.414827237 + 0.9583333335 = -0.4564939035 x = -0.4564939035 Simplifying x = -0.4564939035Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.3731605705, -0.4564939035}
| -15=16 | | 1/2(8r+10)=17 | | (3x-5)*(4x)= | | 35=7(2x-9) | | (3k+6)(2k+12)=0 | | 6x+6y=300 | | 3/4(8x+12)=21 | | 3y-4x-2(4x-5y)= | | 2h+10=16 | | -(n-13)=-811 | | r+8r-5r=-20 | | 3(x-2)-x=2x+6 | | 37-2x=13-10x | | 8t-7t=8 | | 37-2x=1-10x | | 50=0.8x+3 | | 21(n-981)+493=535 | | 6x^2-20x-230=0 | | 8g+12=5g+10 | | 11v-6v=30 | | 5b-17-13b=17 | | 50=(15y)2+(x)2 | | x^2-8=2 | | (2x+7)+(6x+3)= | | (8x-1)(7x+3)=0 | | |3x+5|=7 | | 6x^2+40x-180=0 | | 9(3n-5)=(6n+5)+1 | | (5x-7)(2x+6)=0 | | x^2+9x=2 | | 2(a-5)=8 | | 3/2z+1/3z=1/3 |