If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 3)(x) = 300 Reorder the terms: (3 + 2x)(x) = 300 Reorder the terms for easier multiplication: x(3 + 2x) = 300 (3 * x + 2x * x) = 300 (3x + 2x2) = 300 Solving 3x + 2x2 = 300 Solving for variable 'x'. Reorder the terms: -300 + 3x + 2x2 = 300 + -300 Combine like terms: 300 + -300 = 0 -300 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -150 + 1.5x + x2 = 0 Move the constant term to the right: Add '150' to each side of the equation. -150 + 1.5x + 150 + x2 = 0 + 150 Reorder the terms: -150 + 150 + 1.5x + x2 = 0 + 150 Combine like terms: -150 + 150 = 0 0 + 1.5x + x2 = 0 + 150 1.5x + x2 = 0 + 150 Combine like terms: 0 + 150 = 150 1.5x + x2 = 150 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 150 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 150 + 0.5625 Combine like terms: 150 + 0.5625 = 150.5625 0.5625 + 1.5x + x2 = 150.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 150.5625 Calculate the square root of the right side: 12.270391192 Break this problem into two subproblems by setting (x + 0.75) equal to 12.270391192 and -12.270391192.Subproblem 1
x + 0.75 = 12.270391192 Simplifying x + 0.75 = 12.270391192 Reorder the terms: 0.75 + x = 12.270391192 Solving 0.75 + x = 12.270391192 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 12.270391192 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 12.270391192 + -0.75 x = 12.270391192 + -0.75 Combine like terms: 12.270391192 + -0.75 = 11.520391192 x = 11.520391192 Simplifying x = 11.520391192Subproblem 2
x + 0.75 = -12.270391192 Simplifying x + 0.75 = -12.270391192 Reorder the terms: 0.75 + x = -12.270391192 Solving 0.75 + x = -12.270391192 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -12.270391192 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -12.270391192 + -0.75 x = -12.270391192 + -0.75 Combine like terms: -12.270391192 + -0.75 = -13.020391192 x = -13.020391192 Simplifying x = -13.020391192Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.520391192, -13.020391192}
| 6x^2+8x-7=0 | | 6x-5=6(x-8) | | 3x^4+14x^2-24=0 | | 3m=m-6 | | 13v^2-8=-460 | | 133v^2-8=-460 | | 0.10x+0.05(8-x)=0.10(13) | | (-11+5)= | | 33y+108=3(y+36)+11y | | 204-(-19)= | | -6*(-34)= | | 3/4*25 | | 3(3/5)x(-8(1/3)) | | 930=19(x+5) | | (-34)-(-19)= | | y=2.9x-1.3 | | (-8+(-26))= | | 24x=2(12x-12) | | (3x-4x-2y)+(2y+3y+2x)= | | 6w+42=3(w+4) | | 87.3=9(m+2.4) | | 12.81=-log(x) | | -8(w-3)=2w-36 | | x/5-4.5=14.8 | | -8(w-3)=2w-35 | | y=-16x+80+220 | | -2(5t-3)+3t=2t-8 | | 9x-1=5(x-5) | | -6(w-5)=-9w+24 | | 3x-6=6-2x | | -6(w-5)=9w+24 | | B=2/9(3.14)r^2 |