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Simplifying 4x2 + 15x + 25 = 79 Reorder the terms: 25 + 15x + 4x2 = 79 Solving 25 + 15x + 4x2 = 79 Solving for variable 'x'. Reorder the terms: 25 + -79 + 15x + 4x2 = 79 + -79 Combine like terms: 25 + -79 = -54 -54 + 15x + 4x2 = 79 + -79 Combine like terms: 79 + -79 = 0 -54 + 15x + 4x2 = 0 Factor a trinomial. (-6 + -1x)(9 + -4x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-6, 2.25}
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