x^2-14x+25=-3x-3

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Solution for x^2-14x+25=-3x-3 equation:


Simplifying
x2 + -14x + 25 = -3x + -3

Reorder the terms:
25 + -14x + x2 = -3x + -3

Reorder the terms:
25 + -14x + x2 = -3 + -3x

Solving
25 + -14x + x2 = -3 + -3x

Solving for variable 'x'.

Reorder the terms:
25 + 3 + -14x + 3x + x2 = -3 + -3x + 3 + 3x

Combine like terms: 25 + 3 = 28
28 + -14x + 3x + x2 = -3 + -3x + 3 + 3x

Combine like terms: -14x + 3x = -11x
28 + -11x + x2 = -3 + -3x + 3 + 3x

Reorder the terms:
28 + -11x + x2 = -3 + 3 + -3x + 3x

Combine like terms: -3 + 3 = 0
28 + -11x + x2 = 0 + -3x + 3x
28 + -11x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
28 + -11x + x2 = 0

Factor a trinomial.
(4 + -1x)(7 + -1x) = 0

Subproblem 1

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

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 = {4, 7}

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