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Simplifying 9x2 + -12x + 4 = 4x2 + 20x + 25 Reorder the terms: 4 + -12x + 9x2 = 4x2 + 20x + 25 Reorder the terms: 4 + -12x + 9x2 = 25 + 20x + 4x2 Solving 4 + -12x + 9x2 = 25 + 20x + 4x2 Solving for variable 'x'. Reorder the terms: 4 + -25 + -12x + -20x + 9x2 + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: 4 + -25 = -21 -21 + -12x + -20x + 9x2 + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: -12x + -20x = -32x -21 + -32x + 9x2 + -4x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Combine like terms: 9x2 + -4x2 = 5x2 -21 + -32x + 5x2 = 25 + 20x + 4x2 + -25 + -20x + -4x2 Reorder the terms: -21 + -32x + 5x2 = 25 + -25 + 20x + -20x + 4x2 + -4x2 Combine like terms: 25 + -25 = 0 -21 + -32x + 5x2 = 0 + 20x + -20x + 4x2 + -4x2 -21 + -32x + 5x2 = 20x + -20x + 4x2 + -4x2 Combine like terms: 20x + -20x = 0 -21 + -32x + 5x2 = 0 + 4x2 + -4x2 -21 + -32x + 5x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -21 + -32x + 5x2 = 0 Factor a trinomial. (-3 + -5x)(7 + -1x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = 7Solution
x = {-0.6, 7}
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