If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 2)(x + -2) = 3x(x + 10) Reorder the terms: (2 + x)(x + -2) = 3x(x + 10) Reorder the terms: (2 + x)(-2 + x) = 3x(x + 10) Multiply (2 + x) * (-2 + x) (2(-2 + x) + x(-2 + x)) = 3x(x + 10) ((-2 * 2 + x * 2) + x(-2 + x)) = 3x(x + 10) ((-4 + 2x) + x(-2 + x)) = 3x(x + 10) (-4 + 2x + (-2 * x + x * x)) = 3x(x + 10) (-4 + 2x + (-2x + x2)) = 3x(x + 10) Combine like terms: 2x + -2x = 0 (-4 + 0 + x2) = 3x(x + 10) (-4 + x2) = 3x(x + 10) Reorder the terms: -4 + x2 = 3x(10 + x) -4 + x2 = (10 * 3x + x * 3x) -4 + x2 = (30x + 3x2) Solving -4 + x2 = 30x + 3x2 Solving for variable 'x'. Reorder the terms: -4 + -30x + x2 + -3x2 = 30x + 3x2 + -30x + -3x2 Combine like terms: x2 + -3x2 = -2x2 -4 + -30x + -2x2 = 30x + 3x2 + -30x + -3x2 Reorder the terms: -4 + -30x + -2x2 = 30x + -30x + 3x2 + -3x2 Combine like terms: 30x + -30x = 0 -4 + -30x + -2x2 = 0 + 3x2 + -3x2 -4 + -30x + -2x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + -30x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(2 + 15x + x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(2 + 15x + x2)' equal to zero and attempt to solve: Simplifying 2 + 15x + x2 = 0 Solving 2 + 15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 15x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 15x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 15x + x2 = 0 + -2 15x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 15x + x2 = -2 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = -2 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -2 + 56.25 Combine like terms: -2 + 56.25 = 54.25 56.25 + 15x + x2 = 54.25 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = 54.25 Calculate the square root of the right side: 7.365459931 Break this problem into two subproblems by setting (x + 7.5) equal to 7.365459931 and -7.365459931.Subproblem 1
x + 7.5 = 7.365459931 Simplifying x + 7.5 = 7.365459931 Reorder the terms: 7.5 + x = 7.365459931 Solving 7.5 + x = 7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 7.365459931 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 7.365459931 + -7.5 x = 7.365459931 + -7.5 Combine like terms: 7.365459931 + -7.5 = -0.134540069 x = -0.134540069 Simplifying x = -0.134540069Subproblem 2
x + 7.5 = -7.365459931 Simplifying x + 7.5 = -7.365459931 Reorder the terms: 7.5 + x = -7.365459931 Solving 7.5 + x = -7.365459931 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -7.365459931 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -7.365459931 + -7.5 x = -7.365459931 + -7.5 Combine like terms: -7.365459931 + -7.5 = -14.865459931 x = -14.865459931 Simplifying x = -14.865459931Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.134540069, -14.865459931}Solution
x = {-0.134540069, -14.865459931}
| z*8+4=9 | | 2(x+10)=3x-5 | | -2z+2+4z=3.2+2z-0.66 | | t-23=14 | | 3x+2x(0.01)=193 | | -2z+2+4z=3.2+2z-0.67 | | 3tan^3x-8tan^2x+8=0 | | 4/x=17 | | 3x^3-8x^2+8=0 | | 4.25+4.2y-2.25=2.2y+6+2y-4 | | H(t)=-16t^2+136t+5 | | 4x^2-8x+12=8 | | 6b-4=2b-7 | | t*4-1=14 | | x+90+x+20+x-90=180 | | a*5+2=12 | | f(x+5)=7x+8 | | (3u-9)(4u+7)+(3u-9)(2u+8)=0 | | 6x^2-33x=63x | | (9u-2)(3u+6)+(9u-2)(8u+5)=0 | | (9t-8)(3t+4)+(9t-8)(7t+5)=0 | | (8z-7)(9z+6)+(8z-7)(4z+3)=0 | | (7t-9)(2t+4)+(7t-9)(3t+8)=0 | | (6y+5)y=0 | | 10x^2+x+0.25=2.25 | | (2z+7)z=0 | | 5sin(3x)-1=3 | | 2Y+6-y=5 | | u(2u+8)=0 | | (1.5y)+2y=3(1.5y)-y | | x-90+x+20+x-90=180 | | (4x-15)+2x+3=48 |