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Simplifying x2 + 10 + -21 = (x + 3)(x + -7) Reorder the terms: 10 + -21 + x2 = (x + 3)(x + -7) Combine like terms: 10 + -21 = -11 -11 + x2 = (x + 3)(x + -7) Reorder the terms: -11 + x2 = (3 + x)(x + -7) Reorder the terms: -11 + x2 = (3 + x)(-7 + x) Multiply (3 + x) * (-7 + x) -11 + x2 = (3(-7 + x) + x(-7 + x)) -11 + x2 = ((-7 * 3 + x * 3) + x(-7 + x)) -11 + x2 = ((-21 + 3x) + x(-7 + x)) -11 + x2 = (-21 + 3x + (-7 * x + x * x)) -11 + x2 = (-21 + 3x + (-7x + x2)) Combine like terms: 3x + -7x = -4x -11 + x2 = (-21 + -4x + x2) Add '-1x2' to each side of the equation. -11 + x2 + -1x2 = -21 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11 + 0 = -21 + -4x + x2 + -1x2 -11 = -21 + -4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11 = -21 + -4x + 0 -11 = -21 + -4x Solving -11 = -21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -11 + 4x = -21 + -4x + 4x Combine like terms: -4x + 4x = 0 -11 + 4x = -21 + 0 -11 + 4x = -21 Add '11' to each side of the equation. -11 + 11 + 4x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = -21 + 11 4x = -21 + 11 Combine like terms: -21 + 11 = -10 4x = -10 Divide each side by '4'. x = -2.5 Simplifying x = -2.5
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