H(x)=x^2+29x+100x

Solution for H(x)=x^2+29x+100x equation:

Simplifying
H(x) = x2 + 29x + 100x

Multiply H * x
xH = x2 + 29x + 100x

Reorder the terms:
xH = 29x + 100x + x2

Combine like terms: 29x + 100x = 129x
xH = 129x + x2

Solving
xH = 129x + x2

Solving for variable 'x'.

Reorder the terms:
-129x + xH + -1x2 = 129x + x2 + -129x + -1x2

Reorder the terms:
-129x + xH + -1x2 = 129x + -129x + x2 + -1x2

Combine like terms: 129x + -129x = 0
-129x + xH + -1x2 = 0 + x2 + -1x2
-129x + xH + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-129x + xH + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-129 + H + -1x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-129 + H + -1x)' equal to zero and attempt to solve:

Simplifying
-129 + H + -1x = 0

Solving
-129 + H + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '129' to each side of the equation.
-129 + H + 129 + -1x = 0 + 129

Reorder the terms:
-129 + 129 + H + -1x = 0 + 129

Combine like terms: -129 + 129 = 0
0 + H + -1x = 0 + 129
H + -1x = 0 + 129

Combine like terms: 0 + 129 = 129
H + -1x = 129

Add '-1H' to each side of the equation.
H + -1H + -1x = 129 + -1H

Combine like terms: H + -1H = 0
0 + -1x = 129 + -1H
-1x = 129 + -1H

Divide each side by '-1'.
x = -129 + H

Simplifying
x = -129 + H
Solution
x = {0, -129 + H}