4x^2+40x+100=100

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Solution for 4x^2+40x+100=100 equation:


Simplifying
4x2 + 40x + 100 = 100

Reorder the terms:
100 + 40x + 4x2 = 100

Add '-100' to each side of the equation.
100 + 40x + -100 + 4x2 = 100 + -100

Reorder the terms:
100 + -100 + 40x + 4x2 = 100 + -100

Combine like terms: 100 + -100 = 0
0 + 40x + 4x2 = 100 + -100
40x + 4x2 = 100 + -100

Combine like terms: 100 + -100 = 0
40x + 4x2 = 0

Solving
40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(10 + x) = 0

Ignore the factor 4.

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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10

Solution

x = {0, -10}

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