5x^2+40x+100=625

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Solution for 5x^2+40x+100=625 equation:


Simplifying
5x2 + 40x + 100 = 625

Reorder the terms:
100 + 40x + 5x2 = 625

Solving
100 + 40x + 5x2 = 625

Solving for variable 'x'.

Reorder the terms:
100 + -625 + 40x + 5x2 = 625 + -625

Combine like terms: 100 + -625 = -525
-525 + 40x + 5x2 = 625 + -625

Combine like terms: 625 + -625 = 0
-525 + 40x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-105 + 8x + x2) = 0

Factor a trinomial.
5((-15 + -1x)(7 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-15, 7}

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