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Simplifying (-4x + -15)(-4x + -15) = 0 Reorder the terms: (-15 + -4x)(-4x + -15) = 0 Reorder the terms: (-15 + -4x)(-15 + -4x) = 0 Multiply (-15 + -4x) * (-15 + -4x) (-15(-15 + -4x) + -4x * (-15 + -4x)) = 0 ((-15 * -15 + -4x * -15) + -4x * (-15 + -4x)) = 0 ((225 + 60x) + -4x * (-15 + -4x)) = 0 (225 + 60x + (-15 * -4x + -4x * -4x)) = 0 (225 + 60x + (60x + 16x2)) = 0 Combine like terms: 60x + 60x = 120x (225 + 120x + 16x2) = 0 Solving 225 + 120x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + 4x)(15 + 4x) = 0Subproblem 1
Set the factor '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 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 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Subproblem 2
Set the factor '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 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 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Solution
x = {-3.75, -3.75}
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