If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 15 + -4x2 = 12x + 3 Reorder the terms: 15 + -4x2 = 3 + 12x Solving 15 + -4x2 = 3 + 12x Solving for variable 'x'. Reorder the terms: 15 + -3 + -12x + -4x2 = 3 + 12x + -3 + -12x Combine like terms: 15 + -3 = 12 12 + -12x + -4x2 = 3 + 12x + -3 + -12x Reorder the terms: 12 + -12x + -4x2 = 3 + -3 + 12x + -12x Combine like terms: 3 + -3 = 0 12 + -12x + -4x2 = 0 + 12x + -12x 12 + -12x + -4x2 = 12x + -12x Combine like terms: 12x + -12x = 0 12 + -12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(3 + -3x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -3x + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -3x + -1x2 = 0 Solving 3 + -3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -3 + 3x + x2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + 3x + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 3x + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3x + x2 = 0 + 3 3x + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 3x + x2 = 3 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 3 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 3 + 2.25 Combine like terms: 3 + 2.25 = 5.25 2.25 + 3x + x2 = 5.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (x + 1.5) equal to 2.291287847 and -2.291287847.Subproblem 1
x + 1.5 = 2.291287847 Simplifying x + 1.5 = 2.291287847 Reorder the terms: 1.5 + x = 2.291287847 Solving 1.5 + x = 2.291287847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 2.291287847 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 2.291287847 + -1.5 x = 2.291287847 + -1.5 Combine like terms: 2.291287847 + -1.5 = 0.791287847 x = 0.791287847 Simplifying x = 0.791287847Subproblem 2
x + 1.5 = -2.291287847 Simplifying x + 1.5 = -2.291287847 Reorder the terms: 1.5 + x = -2.291287847 Solving 1.5 + x = -2.291287847 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -2.291287847 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -2.291287847 + -1.5 x = -2.291287847 + -1.5 Combine like terms: -2.291287847 + -1.5 = -3.791287847 x = -3.791287847 Simplifying x = -3.791287847Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.791287847, -3.791287847}Solution
x = {0.791287847, -3.791287847}
| -2(2t-3)=30 | | 4(x+3)=4x-7 | | -3(8b+12)-6b=-6 | | x-17=35 | | 520=2(2l+60)+2l | | 2l+60=520 | | 7(3+2a)=161 | | 21=6(x-.5) | | 4m-16+=-36 | | -5(2s-5)=65 | | -5(3d+15)+60=-75 | | x-43=167 | | 4(5c-6)+5c=26 | | 7(3q-4)=14 | | 0.60x+0.30(60)=0.30(34) | | 3(2r-6)=24 | | x^2+x-(.75)=0 | | 7(t+3.6)=14t-6.3 | | 340=2(2w+20)+2w | | 8(x+3)=3x+59 | | 4(2a+11)=60 | | 8.8y-2.9=48.14 | | 6n-3=4n+12 | | 3(4a+6)+2=-28 | | 15x-12(3)=16 | | 15(2)-12y=16 | | 15(2)-12=16 | | 15(0)-12=16 | | -2(3b-5)=-26 | | 15x-12(0)=16 | | 5(3f+7)=20 | | 6(3c-15)=-18 |