9x^2-42x+49=9

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Solution for 9x^2-42x+49=9 equation:


Simplifying
9x2 + -42x + 49 = 9

Reorder the terms:
49 + -42x + 9x2 = 9

Solving
49 + -42x + 9x2 = 9

Solving for variable 'x'.

Reorder the terms:
49 + -9 + -42x + 9x2 = 9 + -9

Combine like terms: 49 + -9 = 40
40 + -42x + 9x2 = 9 + -9

Combine like terms: 9 + -9 = 0
40 + -42x + 9x2 = 0

Factor a trinomial.
(4 + -3x)(10 + -3x) = 0

Subproblem 1

Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333

Subproblem 2

Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 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 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333

Solution

x = {1.333333333, 3.333333333}

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